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12210010110102 = 237419371205639
BaseRepresentation
bin1011000110101101110101…
…0100001011100010010110
31121020021011121011001212110
42301223131110023202112
53100022100042010402
641545111243331450
72400100301340000
oct261533524134226
947207147131773
1012210010110102
113988266435972
12145246b820b86
136a7525828c1c
14302d792d5370
1516292509d56c
hexb1add50b896

12210010110102 has 160 divisors (see below), whose sum is σ = 30798218476800. Its totient is φ = 3215639093184.

The previous prime is 12210010110061. The next prime is 12210010110143. The reversal of 12210010110102 is 20101101001221.

12210010110102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12210010110061) and next prime (12210010110143).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9524599 + ... + 10730237.

It is an arithmetic number, because the mean of its divisors is an integer number (192488865480).

Almost surely, 212210010110102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12210010110102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15399109238400).

12210010110102 is an abundant number, since it is smaller than the sum of its proper divisors (18588208366698).

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

12210010110102 is a wasteful number, since it uses less digits than its factorization.

12210010110102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205728 (or 1205707 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12210010110102 its reverse (20101101001221), we get a palindrome (32311111111323).

The spelling of 12210010110102 in words is "twelve trillion, two hundred ten billion, ten million, one hundred ten thousand, one hundred two".

Divisors: 1 2 3 6 7 14 19 21 37 38 42 49 57 74 98 111 114 133 147 222 259 266 294 343 399 518 686 703 777 798 931 1029 1406 1554 1813 1862 2058 2109 2401 2793 3626 4218 4802 4921 5439 5586 6517 7203 9842 10878 12691 13034 14406 14763 19551 25382 29526 34447 38073 39102 45619 68894 76146 88837 91238 103341 136857 177674 206682 241129 266511 273714 482258 533022 723387 1205639 1446774 1687903 2411278 3375806 3616917 5063709 7233834 8439473 10127418 16878946 22907141 25318419 44608643 45814282 50636838 59076311 68721423 89217286 118152622 133825929 137442846 160349987 177228933 267651858 312260501 320699974 354457866 413534177 481049961 624521002 827068354 847564217 936781503 962099922 1122449909 1240602531 1695128434 1873563006 2185823507 2244899818 2481205062 2542692651 2894739239 3367349727 4371647014 5085385302 5789478478 5932949519 6557470521 6734699454 7857149363 8684217717 11865899038 13114941042 15300764549 15714298726 17368435434 17798848557 23571448089 30601529098 35597697114 41530646633 45902293647 47142896178 55000045541 83061293266 91804587294 107105351843 110000091082 124591939899 165000136623 214210703686 249183879798 290714526431 321316055529 330000273246 581429052862 642632111058 872143579293 1744287158586 2035001685017 4070003370034 6105005055051 12210010110102