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23010134312214 = 23271739767108079
BaseRepresentation
bin1010011101101011101101…
…11000011100010100010110
310000110202011211020011221200
411032311312320130110112
511003444223340442324
6120534413151053330
74563266402351520
oct516656670342426
9100422154204850
1023010134312214
1173715a7a45555
1226b7627511246
13cabb0059958a
145979a707aa10
1529d82e168ec9
hex14ed76e1c516

23010134312214 has 96 divisors (see below), whose sum is σ = 57313222686720. Its totient is φ = 6535592519616.

The previous prime is 23010134312203. The next prime is 23010134312267. The reversal of 23010134312214 is 41221343101032.

23010134312214 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 0 + 1 + 3 + 431 + 221 + 4 = 666.

It is a super-4 number, since 4×230101343122144 (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212847027 + ... + 212955105.

It is an arithmetic number, because the mean of its divisors is an integer number (597012736320).

Almost surely, 223010134312214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23010134312214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28656611343360).

23010134312214 is an abundant number, since it is smaller than the sum of its proper divisors (34303088374506).

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

23010134312214 is a wasteful number, since it uses less digits than its factorization.

23010134312214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118034 (or 118031 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 23010134312214 its reverse (41221343101032), we get a palindrome (64231477413246).

The spelling of 23010134312214 in words is "twenty-three trillion, ten billion, one hundred thirty-four million, three hundred twelve thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 173 346 519 1038 1211 1557 2422 3114 3633 7266 9767 10899 19534 21798 29301 58602 68369 87903 108079 136738 175806 205107 216158 324237 410214 615321 648474 756553 972711 1230642 1513106 1689691 1945422 2269659 3379382 4539318 5069073 6808977 10138146 11827837 13617954 15207219 18697667 23655674 30414438 35483511 37395334 56093001 70967022 106450533 112186002 130883669 168279003 212901066 261767338 336558006 392651007 785302014 1055607593 1177953021 2111215186 2355906042 3166822779 6333645558 7389253151 9500468337 14778506302 19000936674 22167759453 44335518906 66503278359 133006556718 182620113589 365240227178 547860340767 1095720681534 1278340795123 1643581022301 2556681590246 3287162044602 3835022385369 7670044770738 11505067156107 23010134312214