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101221209999 = 3271336131193
BaseRepresentation
bin101111001000101000…
…0010001011110001111
3100200021021120020102200
41132101100101132033
53124300112204444
6114300025452543
710212233042340
oct1362120213617
9320237506380
10101221209999
1139a22809268
121774a941153
13971181c000
144c833120c7
152976564969
hex179141178f

101221209999 has 96 divisors (see below), whose sum is σ = 181460872320. Its totient is φ = 53259628032.

The previous prime is 101221209967. The next prime is 101221210007. The reversal of 101221209999 is 999902122101.

It is not a de Polignac number, because 101221209999 - 25 = 101221209967 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221209499) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84845347 + ... + 84846539.

It is an arithmetic number, because the mean of its divisors is an integer number (1890217420).

Almost surely, 2101221209999 is an apocalyptic number.

101221209999 is a deficient number, since it is larger than the sum of its proper divisors (80239662321).

101221209999 is a wasteful number, since it uses less digits than its factorization.

101221209999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 45.

The spelling of 101221209999 in words is "one hundred one billion, two hundred twenty-one million, two hundred nine thousand, nine hundred ninety-nine".

Divisors: 1 3 7 9 13 21 39 63 91 117 169 273 507 613 819 1183 1193 1521 1839 2197 3549 3579 4291 5517 6591 7969 8351 10647 10737 12873 15379 15509 19773 23907 25053 38619 46137 46527 55783 71721 75159 103597 108563 138411 139581 167349 201617 310791 325689 502047 604851 725179 731309 932373 977067 1346761 1411319 1814553 2175537 2193927 2621021 4040283 4233957 5119163 6526611 6581781 7863063 9427327 9507017 12120849 12701871 15357489 18347147 23589189 28281981 28521051 46072467 55041441 66549119 84845943 85563153 123591221 165124323 199647357 370773663 598942071 865138547 1112320989 1606685873 2595415641 4820057619 7786246923 11246801111 14460172857 33740403333 101221209999