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100233321012 = 2232111937360049
BaseRepresentation
bin101110101011001011…
…1110001101000110100
3100120201102200021111200
41131112113301220310
53120234212233022
6114014015532500
710145606112456
oct1352627615064
9316642607450
10100233321012
1139566107690
1217513b2a130
1395b4c62506
144bcc0382d6
152919976bac
hex17565f1a34

100233321012 has 144 divisors (see below), whose sum is σ = 298812696000. Its totient is φ = 27997332480.

The previous prime is 100233320987. The next prime is 100233321029. The reversal of 100233321012 is 210123332001.

100233321012 is a `hidden beast` number, since 100 + 233 + 321 + 0 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98364 + ... + 458412.

Almost surely, 2100233321012 is an apocalyptic number.

100233321012 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 100233321012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149406348000).

100233321012 is an abundant number, since it is smaller than the sum of its proper divisors (198579374988).

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

100233321012 is a wasteful number, since it uses less digits than its factorization.

100233321012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360126 (or 360121 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100233321012 its reverse (210123332001), we get a palindrome (310356653013).

The spelling of 100233321012 in words is "one hundred billion, two hundred thirty-three million, three hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 37 38 44 57 66 74 76 99 111 114 132 148 171 198 209 222 228 333 342 396 407 418 444 627 666 684 703 814 836 1221 1254 1332 1406 1628 1881 2109 2442 2508 2812 3663 3762 4218 4884 6327 7326 7524 7733 8436 12654 14652 15466 23199 25308 30932 46398 69597 92796 139194 278388 360049 720098 1080147 1440196 2160294 3240441 3960539 4320588 6480882 6840931 7921078 11881617 12961764 13321813 13681862 15842156 20522793 23763234 26643626 27363724 35644851 39965439 41045586 47526468 53287252 61568379 71289702 75250241 79930878 82091172 119896317 123136758 142579404 146539943 150500482 159861756 225750723 239792634 246273516 253114447 293079886 301000964 439619829 451501446 479585268 506228894 586159772 677252169 759343341 879239658 903002892 1012457788 1318859487 1354504338 1518686682 1758479316 2278030023 2637718974 2709008676 2784258917 3037373364 4556060046 5275437948 5568517834 8352776751 9112120092 11137035668 16705553502 25058330253 33411107004 50116660506 100233321012