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100110111211212 = 223477271090922381
BaseRepresentation
bin10110110000110010110011…
…100111011111111011001100
3111010110102200202222121202120
4112300302303213133323030
5101110201001432224322
6552525541124052540
730041500611040524
oct2660626347377314
9433412622877676
10100110111211212
1129997506a05983
12b28a015834150
1343b245c6b05ab
141aa14d8aa4684
15b89161533a5c
hex5b0cb39dfecc

100110111211212 has 96 divisors (see below), whose sum is σ = 238920981411840. Its totient is φ = 32610665007360.

The previous prime is 100110111211153. The next prime is 100110111211219. The reversal of 100110111211212 is 212112111011001.

It is a junction number, because it is equal to n+sod(n) for n = 100110111211191 and 100110111211200.

It is not an unprimeable number, because it can be changed into a prime (100110111211219) 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, 4472984262 + ... + 4473006642.

It is an arithmetic number, because the mean of its divisors is an integer number (2488760223040).

Almost surely, 2100110111211212 is an apocalyptic number.

100110111211212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100110111211212 is an abundant number, since it is smaller than the sum of its proper divisors (138810870200628).

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

100110111211212 is a wasteful number, since it uses less digits than its factorization.

100110111211212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34071 (or 34069 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 100110111211212 its reverse (212112111011001), we get a palindrome (312222222222213).

The spelling of 100110111211212 in words is "one hundred trillion, one hundred ten billion, one hundred eleven million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 47 94 141 188 282 564 727 1454 2181 2908 4362 8724 10909 21818 22381 32727 34169 43636 44762 65454 67143 68338 89524 102507 130908 134286 136676 205014 268572 410028 512723 1025446 1051907 1538169 2050892 2103814 3076338 3155721 4207628 6152676 6311442 7930843 12622884 15861686 16270987 23792529 31723372 32541974 47585058 48812961 65083948 95170116 97625922 195251844 244154329 372749621 488308658 732462987 745499242 764736389 976617316 1118248863 1464925974 1490998484 1529472778 2236497726 2294209167 2929851948 3058945556 4472995452 4588418334 9176836668 11475253463 22950506926 34425760389 45901013852 68851520778 137703041556 177500197183 355000394366 532500591549 710000788732 1065001183098 2130002366196 8342509267601 16685018535202 25027527802803 33370037070404 50055055605606 100110111211212