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100020333102 = 23172193782051
BaseRepresentation
bin101110100100110101…
…1010010101000101110
3100120011120220101000120
41131021223102220232
53114320201124402
6113540530505410
710140411542454
oct1351153225056
9316146811016
10100020333102
1139466963718
1217474735266
13957caab671
144baba349d4
152905e043bc
hex1749ad2a2e

100020333102 has 96 divisors (see below), whose sum is σ = 229732471680. Its totient is φ = 28923609600.

The previous prime is 100020333073. The next prime is 100020333103. The reversal of 100020333102 is 201333020001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020333103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1177977 + ... + 1260027.

It is an arithmetic number, because the mean of its divisors is an integer number (2393046580).

Almost surely, 2100020333102 is an apocalyptic number.

100020333102 is an abundant number, since it is smaller than the sum of its proper divisors (129712138578).

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

100020333102 is a wasteful number, since it uses less digits than its factorization.

100020333102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82146 (or 82129 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 100020333102 its reverse (201333020001), we get a palindrome (301353353103).

The spelling of 100020333102 in words is "one hundred billion, twenty million, three hundred thirty-three thousand, one hundred two".

Divisors: 1 2 3 6 17 19 34 37 38 51 57 74 102 111 114 222 289 323 578 629 646 703 867 969 1258 1406 1734 1887 1938 2109 3774 4218 5491 10693 10982 11951 16473 21386 23902 32079 32946 35853 64158 71706 82051 164102 203167 246153 406334 492306 609501 1219002 1394867 1558969 2789734 3035887 3117938 4184601 4676907 6071774 8369202 9107661 9353814 18215322 23712739 26502473 47425478 51610079 53004946 57681853 71138217 79507419 103220158 115363706 142276434 154830237 159014838 173045559 309660474 346091118 450542041 877371343 901084082 980591501 1351626123 1754742686 1961183002 2632114029 2703252246 2941774503 5264228058 5883549006 16670055517 33340111034 50010166551 100020333102