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101023920436 = 221937671015309
BaseRepresentation
bin101111000010101111…
…1101011000100110100
3100122202112022220000211
41132011133223010310
53123344110423221
6114224301115204
710204316104165
oct1360537530464
9318675286024
10101023920436
113993140773a
12176b4858b04
1396ac9a361a
144c6503776c
1529640936e1
hex17857eb134

101023920436 has 96 divisors (see below), whose sum is σ = 195936451200. Its totient is φ = 45402508800.

The previous prime is 101023920421. The next prime is 101023920479. The reversal of 101023920436 is 634029320101.

It is a junction number, because it is equal to n+sod(n) for n = 101023920398 and 101023920407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19026150 + ... + 19031458.

It is an arithmetic number, because the mean of its divisors is an integer number (2041004700).

Almost surely, 2101023920436 is an apocalyptic number.

It is an amenable number.

101023920436 is a deficient number, since it is larger than the sum of its proper divisors (94912530764).

101023920436 is a wasteful number, since it uses less digits than its factorization.

101023920436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5537 (or 5535 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 101023920436 in words is "one hundred one billion, twenty-three million, nine hundred twenty thousand, four hundred thirty-six".

Divisors: 1 2 4 19 37 38 67 74 76 101 134 148 202 268 404 703 1273 1406 1919 2479 2546 2812 3737 3838 4958 5092 5309 6767 7474 7676 9916 10618 13534 14948 21236 27068 47101 71003 94202 100871 128573 142006 188404 196433 201742 250379 257146 284012 355703 392866 403484 500758 514292 536209 711406 785732 1001516 1072418 1422812 2144836 3732227 4757201 6758357 7464454 9514402 10187971 13161011 13516714 14928908 19028804 19839733 20375942 26322022 27033428 35926003 39679466 40751884 52644044 71852006 79358932 143704012 250059209 376954927 500118418 682594057 753909854 1000236836 1329262111 1365188114 1507819708 2658524222 2730376228 5317048444 25255980109 50511960218 101023920436