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1012315134040 = 235723831893877
BaseRepresentation
bin11101011101100101010…
…11110001100001011000
310120202221222112001110121
432232302223301201120
5113041210133242130
62053015014323024
7133065053443630
oct16566253614130
93522858461417
101012315134040
11360358558421
1214423a359474
13745cb7c97c2
1436dd3c576c0
151b4ec9d4d7a
hexebb2af1858

1012315134040 has 128 divisors (see below), whose sum is σ = 2749001794560. Its totient is φ = 327989021184.

The previous prime is 1012315134013. The next prime is 1012315134073. The reversal of 1012315134040 is 404315132101.

It is a junction number, because it is equal to n+sod(n) for n = 1012315133996 and 1012315134014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412419 + ... + 1481458.

It is an arithmetic number, because the mean of its divisors is an integer number (21476576520).

Almost surely, 21012315134040 is an apocalyptic number.

1012315134040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012315134040 is an abundant number, since it is smaller than the sum of its proper divisors (1736686660520).

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

1012315134040 is a wasteful number, since it uses less digits than its factorization.

1012315134040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894001 (or 1893997 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The spelling of 1012315134040 in words is "one trillion, twelve billion, three hundred fifteen million, one hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 83 92 115 140 161 166 184 230 280 322 332 415 460 581 644 664 805 830 920 1162 1288 1610 1660 1909 2324 2905 3220 3320 3818 4648 5810 6440 7636 9545 11620 13363 15272 19090 23240 26726 38180 53452 66815 76360 106904 133630 267260 534520 1893877 3787754 7575508 9469385 13257139 15151016 18938770 26514278 37877540 43559171 53028556 66285695 75755080 87118342 106057112 132571390 157191791 174236684 217795855 265142780 304914197 314383582 348473368 435591710 530285560 609828394 628767164 785958955 871183420 1100342537 1219656788 1257534328 1524570985 1571917910 1742366840 2200685074 2439313576 3049141970 3143835820 3615411193 4401370148 5501712685 6098283940 6287671640 7230822386 8802740296 11003425370 12196567880 14461644772 18077055965 22006850740 25307878351 28923289544 36154111930 44013701480 50615756702 72308223860 101231513404 126539391755 144616447720 202463026808 253078783510 506157567020 1012315134040