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10221202001120 = 2551146312543199
BaseRepresentation
bin1001010010111100111100…
…0111010100110011100000
31100012010201010211012010112
42110233033013110303200
52314431010203013440
633423315543350452
72103312625336535
oct224571707246340
940163633735115
1010221202001120
1132908730774a0
121190b2ba52428
13591b16b97596
142749ccdc6d8c
1512ad24916965
hex94bcf1d4ce0

10221202001120 has 96 divisors (see below), whose sum is σ = 26399723212800. Its totient is φ = 3708772784640.

The previous prime is 10221202001119. The next prime is 10221202001177. The reversal of 10221202001120 is 2110020212201.

10221202001120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10221202001095 and 10221202001104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5456720 + ... + 7086479.

It is an arithmetic number, because the mean of its divisors is an integer number (274997116800).

Almost surely, 210221202001120 is an apocalyptic number.

10221202001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221202001120 is an abundant number, since it is smaller than the sum of its proper divisors (16178521211680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10221202001120 is a wasteful number, since it uses less digits than its factorization.

10221202001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12543688 (or 12543680 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10221202001120 its reverse (2110020212201), we get a palindrome (12331222213321).

The spelling of 10221202001120 in words is "ten trillion, two hundred twenty-one billion, two hundred two million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 463 880 926 1760 1852 2315 3704 4630 5093 7408 9260 10186 14816 18520 20372 25465 37040 40744 50930 74080 81488 101860 162976 203720 407440 814880 12543199 25086398 50172796 62715995 100345592 125431990 137975189 200691184 250863980 275950378 401382368 501727960 551900756 689875945 1003455920 1103801512 1379751890 2006911840 2207603024 2759503780 4415206048 5519007560 5807501137 11038015120 11615002274 22076030240 23230004548 29037505685 46460009096 58075011370 63882512507 92920018192 116150022740 127765025014 185840036384 232300045480 255530050028 319412562535 464600090960 511060100056 638825125070 929200181920 1022120200112 1277650250140 2044240400224 2555300500280 5110601000560 10221202001120