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21101133231032 = 23193771233322651
BaseRepresentation
bin1001100110000111111011…
…00011001111001110111000
32202201020201020220101010012
410303003331203033032320
510231210110101343112
6112513420552441052
74305335516035661
oct463037543171670
982636636811105
1021101133231032
1167a5a386702a8
12244965a9a9188
13ba0a9caa64ca
1452d42c034368
15268d50084022
hex1330fd8cf3b8

21101133231032 has 128 divisors (see below), whose sum is σ = 43395505574400. Its totient is φ = 9583624512000.

The previous prime is 21101133231011. The next prime is 21101133231037. The reversal of 21101133231032 is 23013233110112.

It is a super-3 number, since 3×211011332310323 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21101133230989 and 21101133231007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101133231037) 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, 931564907 + ... + 931587557.

It is an arithmetic number, because the mean of its divisors is an integer number (339027387300).

Almost surely, 221101133231032 is an apocalyptic number.

It is an amenable number.

21101133231032 is an abundant number, since it is smaller than the sum of its proper divisors (22294372343368).

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

21101133231032 is a wasteful number, since it uses less digits than its factorization.

21101133231032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25117 (or 25113 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 21101133231032 its reverse (23013233110112), we get a palindrome (44114366341144).

The spelling of 21101133231032 in words is "twenty-one trillion, one hundred one billion, one hundred thirty-three million, two hundred thirty-one thousand, thirty-two".

Divisors: 1 2 4 8 19 37 38 71 74 76 142 148 152 284 296 568 703 1349 1406 2333 2627 2698 2812 4666 5254 5396 5624 9332 10508 10792 18664 21016 22651 44327 45302 49913 86321 88654 90604 99826 165643 172642 177308 181208 199652 331286 345284 354616 399304 430369 662572 690568 838087 860738 1325144 1608221 1640099 1676174 1721476 3147217 3216442 3280198 3352348 3442952 6128791 6294434 6432884 6560396 6704696 12257582 12588868 12865768 13120792 15923653 24515164 25177736 30556199 31847306 49030328 52844783 59504177 61112398 63694612 105689566 116447029 119008354 122224796 127389224 211379132 232894058 238016708 244449592 422758264 465788116 476033416 931576232 1004050877 1130579363 1955256971 2008101754 2261158726 3751979593 3910513942 4016203508 4522317452 7503959186 7821027884 8032407016 9044634904 15007918372 15642055768 30015836744 37149882449 71287612267 74299764898 138823244941 142575224534 148599529796 277646489882 285150449068 297199059592 555292979764 570300898136 1110585959528 2637641653879 5275283307758 10550566615516 21101133231032