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105412545141202 = 21322359670134297
BaseRepresentation
bin10111111101111101000101…
…010011101101100111010010
3111211020100012111220020012001
4113331331011103231213102
5102304034343024004302
61012105504341224214
731126543064556205
oct2775750523554722
9454210174806161
10105412545141202
11306512336a6322
12b9a57a810206a
1346a848b90bb00
141c05dcc92193c
15c2c04ee3d787
hex5fdf454ed9d2

105412545141202 has 96 divisors (see below), whose sum is σ = 181722229349760. Its totient is φ = 45739724659200.

The previous prime is 105412545141199. The next prime is 105412545141259. The reversal of 105412545141202 is 202141545214501.

It is a happy number.

It is a super-2 number, since 2×1054125451412022 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3073503718 + ... + 3073538014.

It is an arithmetic number, because the mean of its divisors is an integer number (1892939889060).

Almost surely, 2105412545141202 is an apocalyptic number.

105412545141202 is a deficient number, since it is larger than the sum of its proper divisors (76309684208558).

105412545141202 is a wasteful number, since it uses less digits than its factorization.

105412545141202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41108 (or 41095 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 37.

The spelling of 105412545141202 in words is "one hundred five trillion, four hundred twelve billion, five hundred forty-five million, one hundred forty-one thousand, two hundred two".

Divisors: 1 2 13 23 26 46 59 118 169 299 338 598 767 1357 1534 2714 3887 6701 7774 9971 13402 17641 19942 34297 35282 68594 87113 154123 174226 229333 308246 395359 445861 458666 788831 790718 891722 1132469 1577662 2003599 2023523 2264938 4007198 4047046 5139667 5796193 9093257 10254803 10279334 11592386 18186514 20509606 26046787 26305799 46541029 52093574 52611598 66815671 93082058 118212341 133312439 133631342 229824197 236424682 266624878 341975387 459648394 605033377 683950774 1210066754 1536760433 2987714561 3073520866 5285956531 5975429122 7865433901 10571913062 13559627623 15730867802 27119255246 38840289293 68717434903 77680578586 137434869806 176275159099 311871435329 352550318198 623742870658 893326653739 1786653307478 2291577068287 4054328659277 4583154136574 8108657318554 52706272570601 105412545141202