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122110200121113 = 32374753149987979
BaseRepresentation
bin11011110000111011111111…
…000110100000011100011001
3121000100121202210121001211200
4123300323333012200130121
5112001123142212333423
61111412352420544413
734502112410233161
oct3360737706403431
9530317683531750
10122110200121113
11359a9710620056
1211841936b52109
135319c337883a9
1422222455175a1
15e1b5770aad43
hex6f0eff1a0719

122110200121113 has 96 divisors (see below), whose sum is σ = 189758552256000. Its totient is φ = 75548164243968.

The previous prime is 122110200121057. The next prime is 122110200121121. The reversal of 122110200121113 is 311121002011221.

It is a happy number.

122110200121113 is a `hidden beast` number, since 1 + 221 + 10 + 200 + 121 + 113 = 666.

It is not a de Polignac number, because 122110200121113 - 216 = 122110200055577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122110200123113) 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, 123101958 + ... + 124089936.

It is an arithmetic number, because the mean of its divisors is an integer number (1976651586000).

Almost surely, 2122110200121113 is an apocalyptic number.

It is an amenable number.

122110200121113 is a deficient number, since it is larger than the sum of its proper divisors (67648352134887).

122110200121113 is a wasteful number, since it uses less digits than its factorization.

122110200121113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988271 (or 988268 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 122110200121113 its reverse (311121002011221), we get a palindrome (433231202132334).

The spelling of 122110200121113 in words is "one hundred twenty-two trillion, one hundred ten billion, two hundred million, one hundred twenty-one thousand, one hundred thirteen".

Divisors: 1 3 9 37 47 53 111 141 149 159 333 423 447 477 1341 1739 1961 2491 5217 5513 5883 7003 7473 7897 15651 16539 17649 21009 22419 23691 49617 63027 71073 92167 259111 276501 292189 371159 777333 829503 876567 987979 1113477 2331999 2629701 2963937 3340431 8891811 13732883 36555223 41198649 46435013 52362887 109665669 123595947 139305039 147208871 157088661 328997007 417915117 441626613 471265983 1324879839 1718095481 1937426819 2461055689 5154286443 5446728227 5812280457 6918816937 7383167067 7802070163 15462859329 16340184681 17436841371 20756450811 22149501201 23406210489 49020554043 62269352433 70218631467 91059060493 255996226669 273177181479 288676596031 366697297661 767988680007 819531544437 866029788093 1100091892983 2303966040021 2598089364279 3300275678949 13567800013457 40703400040371 122110200121113