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100231233312 = 2537619240959
BaseRepresentation
bin101110101011000111…
…1110011111100100000
3100120201021202012201110
41131112033303330200
53120233143431222
6114013503103320
710145552266050
oct1352617637440
9316637665643
10100231233312
1139564a11111
12175132a1b40
1395b46b11a2
144bcba53560
1529196b330c
hex17563f3f20

100231233312 has 96 divisors (see below), whose sum is σ = 301180723200. Its totient is φ = 28591112448.

The previous prime is 100231233301. The next prime is 100231233329. The reversal of 100231233312 is 213332132001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 295489 + ... + 536447.

It is an arithmetic number, because the mean of its divisors is an integer number (3137299200).

Almost surely, 2100231233312 is an apocalyptic number.

100231233312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100231233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150590361600).

100231233312 is an abundant number, since it is smaller than the sum of its proper divisors (200949489888).

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

100231233312 is a wasteful number, since it uses less digits than its factorization.

100231233312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241598 (or 241590 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 100231233312 its reverse (213332132001), we get a palindrome (313563365313).

The spelling of 100231233312 in words is "one hundred billion, two hundred thirty-one million, two hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 619 672 1238 1857 2476 3714 4333 4952 7428 8666 9904 12999 14856 17332 19808 25998 29712 34664 51996 59424 69328 103992 138656 207984 240959 415968 481918 722877 963836 1445754 1686713 1927672 2891508 3373426 3855344 5060139 5783016 6746852 7710688 10120278 11566032 13493704 20240556 23132064 26987408 40481112 53974816 80962224 149153621 161924448 298307242 447460863 596614484 894921726 1044075347 1193228968 1789843452 2088150694 2386457936 3132226041 3579686904 4176301388 4772915872 6264452082 7159373808 8352602776 12528904164 14318747616 16705205552 25057808328 33410411104 50115616656 100231233312