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100231123212 = 2232112937235889
BaseRepresentation
bin101110101011000111…
…1011001000100001100
3100120201021112121200200
41131112033121010030
53120233131420322
6114013500453500
710145551330053
oct1352617310414
9316637477620
10100231123212
1139564946420
121751324a290
1395b467303c
144bcba2539a
1529196908ac
hex17563d910c

100231123212 has 144 divisors (see below), whose sum is σ = 293654743200. Its totient is φ = 28533012480.

The previous prime is 100231123169. The next prime is 100231123217. The reversal of 100231123212 is 212321132001.

100231123212 is a `hidden beast` number, since 100 + 231 + 12 + 321 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100231123217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306964 + ... + 542852.

It is an arithmetic number, because the mean of its divisors is an integer number (2039269050).

Almost surely, 2100231123212 is an apocalyptic number.

100231123212 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 100231123212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146827371600).

100231123212 is an abundant number, since it is smaller than the sum of its proper divisors (193423619988).

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

100231123212 is a wasteful number, since it uses less digits than its factorization.

100231123212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235976 (or 235971 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100231123212 its reverse (212321132001), we get a palindrome (312552255213).

The spelling of 100231123212 in words is "one hundred billion, two hundred thirty-one million, one hundred twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 37 44 58 66 74 87 99 111 116 132 148 174 198 222 261 319 333 348 396 407 444 522 638 666 814 957 1044 1073 1221 1276 1332 1628 1914 2146 2442 2871 3219 3663 3828 4292 4884 5742 6438 7326 9657 11484 11803 12876 14652 19314 23606 35409 38628 47212 70818 106227 141636 212454 235889 424908 471778 707667 943556 1415334 2123001 2594779 2830668 4246002 5189558 6840781 7784337 8492004 8727893 10379116 13681562 15568674 17455786 20522343 23353011 26183679 27363124 31137348 34911572 41044686 46706022 52367358 61567029 75248591 78551037 82089372 93412044 96006823 104734716 123134058 150497182 157102074 192013646 225745773 246268116 253108897 288020469 300994364 314204148 384027292 451491546 506217794 576040938 677237319 759326691 864061407 902983092 1012435588 1152081876 1354474638 1518653382 1728122814 2277980073 2708949276 2784197867 3037306764 3456245628 4555960146 5568395734 8352593601 9111920292 11136791468 16705187202 25057780803 33410374404 50115561606 100231123212