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13310200102122 = 23272111371902711
BaseRepresentation
bin1100000110110000010110…
…1111111011110011101010
31202010102221201201102122200
43001230011233323303222
53221033242211231442
644150342125201030
72542426111100100
oct301540557736352
952112851642580
1013310200102122
114271907a63760
1215ab733100176
137571b9a960c1
14340307ad7c70
1518136757d34c
hexc1b05bfbcea

13310200102122 has 72 divisors (see below), whose sum is σ = 36596876745312. Its totient is φ = 3457194829200.

The previous prime is 13310200102117. The next prime is 13310200102181. The reversal of 13310200102122 is 22120100201331.

13310200102122 is a `hidden beast` number, since 1 + 331 + 0 + 200 + 10 + 2 + 122 = 666.

It is a super-2 number, since 2×133102001021222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13310200102095 and 13310200102104.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 685941654 + ... + 685961057.

It is an arithmetic number, because the mean of its divisors is an integer number (508289954796).

Almost surely, 213310200102122 is an apocalyptic number.

13310200102122 is an abundant number, since it is smaller than the sum of its proper divisors (23286676643190).

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

13310200102122 is a wasteful number, since it uses less digits than its factorization.

13310200102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371902744 (or 1371902734 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13310200102122 its reverse (22120100201331), we get a palindrome (35430300303453).

The spelling of 13310200102122 in words is "thirteen trillion, three hundred ten billion, two hundred million, one hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 147 154 198 231 294 441 462 539 693 882 1078 1386 1617 3234 4851 9702 1371902711 2743805422 4115708133 8231416266 9603318977 12347124399 15090929821 19206637954 24694248798 28809956931 30181859642 45272789463 57619913862 67223232839 86429870793 90545578926 105636508747 134446465678 135818368389 172859741586 201669698517 211273017494 271636736778 316909526241 403339397034 605009095551 633819052482 739455561229 950728578723 1210018191102 1478911122458 1901457157446 2218366683687 4436733367374 6655100051061 13310200102122