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100233030404034 = 2321117273110903729
BaseRepresentation
bin10110110010100101010010…
…001011000000011111000010
3111010220011222020010120222200
4112302211102023000133002
5101114204221240412114
6553102230221014030
730053411634661263
oct2662452213003702
9433804866116880
10100233030404034
1129a34653658850
12b2a99bb0b4316
1343c0c1b5c8598
141aa74399ba96a
15b8c45791a409
hex5b29522c07c2

100233030404034 has 96 divisors (see below), whose sum is σ = 250942454792640. Its totient is φ = 28576490342400.

The previous prime is 100233030404027. The next prime is 100233030404041. The reversal of 100233030404034 is 430404030332001.

It is an interprime number because it is at equal distance from previous prime (100233030404027) and next prime (100233030404041).

It is a super-3 number, since 3×1002330304040343 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100233030403989 and 100233030404007.

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, 3740682 + ... + 14644410.

It is an arithmetic number, because the mean of its divisors is an integer number (2613983904090).

Almost surely, 2100233030404034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100233030404034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125471227396320).

100233030404034 is an abundant number, since it is smaller than the sum of its proper divisors (150709424388606).

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

100233030404034 is a wasteful number, since it uses less digits than its factorization.

100233030404034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10906496 (or 10906493 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 100233030404034 its reverse (430404030332001), we get a palindrome (530637060736035).

The spelling of 100233030404034 in words is "one hundred trillion, two hundred thirty-three billion, thirty million, four hundred four thousand, thirty-four".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 2731 3366 5462 8193 16386 24579 30041 46427 49158 60082 90123 92854 139281 180246 270369 278562 417843 510697 540738 835686 1021394 1532091 3064182 4596273 9192546 10903729 21807458 32711187 65422374 98133561 119941019 185363393 196267122 239882038 359823057 370726786 556090179 719646114 1079469171 1112180358 1668270537 2038997323 2158938342 3336541074 4077994646 6116991969 12233983938 18350975907 29778083899 36701951814 59556167798 89334251697 178668503394 268002755091 327558922889 506227426283 536005510182 655117845778 982676768667 1012454852566 1518682278849 1965353537334 2948030306001 3037364557698 4556046836547 5568501689113 5896060612002 9112093673094 11137003378226 16705505067339 33411010134678 50116515202017 100233030404034