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100011001212 = 22332836535011
BaseRepresentation
bin101110100100100011…
…1101100010101111100
3100120010221100021002000
41131021013230111330
53114310304014322
6113535554502300
710140236325003
oct1351107542574
9316127307060
10100011001212
113946166a511
1217471594990
13957ab91c35
144baa6c5c3a
1529051ae3ac
hex17491ec57c

100011001212 has 96 divisors (see below), whose sum is σ = 260654472960. Its totient is φ = 33161711040.

The previous prime is 100011001187. The next prime is 100011001213. The reversal of 100011001212 is 212100110001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100011001194 and 100011001203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011001213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19955787 + ... + 19960797.

It is an arithmetic number, because the mean of its divisors is an integer number (2715150760).

Almost surely, 2100011001212 is an apocalyptic number.

100011001212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100011001212 is an abundant number, since it is smaller than the sum of its proper divisors (160643471748).

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

100011001212 is a wasteful number, since it uses less digits than its factorization.

100011001212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5960 (or 5952 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100011001212 its reverse (212100110001), we get a palindrome (312111111213).

The spelling of 100011001212 in words is "one hundred billion, eleven million, one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 283 566 653 849 1132 1306 1698 1959 2547 2612 3396 3918 5011 5094 5877 7641 7836 10022 10188 11754 15033 15282 17631 20044 23508 30066 30564 35262 45099 60132 70524 90198 135297 180396 184799 270594 369598 541188 554397 739196 1108794 1418113 1663191 2217588 2836226 3272183 3326382 4254339 4989573 5672452 6544366 6652764 8508678 9816549 9979146 12763017 13088732 17017356 19633098 19958292 25526034 29449647 38289051 39266196 51052068 58899294 76578102 88348941 117798588 153156204 176697882 353395764 926027789 1852055578 2778083367 3704111156 5556166734 8334250101 11112333468 16668500202 25002750303 33337000404 50005500606 100011001212