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105010101702 = 233111719547321
BaseRepresentation
bin110000111001100010…
…1101111110111000110
3101001001100000212202000
41201303011233313012
53210030041223302
6120124014530130
710405151065002
oct1416305576706
9331040025660
10105010101702
1140597512720
1218427806946
139b9679726c
1451225d1702
152ae8ed931c
hex187316fdc6

105010101702 has 128 divisors (see below), whose sum is σ = 283731724800. Its totient is φ = 28373068800.

The previous prime is 105010101671. The next prime is 105010101769. The reversal of 105010101702 is 207101010501.

It is a happy number.

It is a super-2 number, since 2×1050101017022 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81799 + ... + 465522.

It is an arithmetic number, because the mean of its divisors is an integer number (2216654100).

Almost surely, 2105010101702 is an apocalyptic number.

105010101702 is an abundant number, since it is smaller than the sum of its proper divisors (178721623098).

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

105010101702 is a wasteful number, since it uses less digits than its factorization.

105010101702 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547379 (or 547373 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The spelling of 105010101702 in words is "one hundred five billion, ten million, one hundred one thousand, seven hundred two".

Divisors: 1 2 3 6 9 11 17 18 19 22 27 33 34 38 51 54 57 66 99 102 114 153 171 187 198 209 297 306 323 342 374 418 459 513 561 594 627 646 918 969 1026 1122 1254 1683 1881 1938 2907 3366 3553 3762 5049 5643 5814 7106 8721 10098 10659 11286 17442 21318 31977 63954 95931 191862 547321 1094642 1641963 3283926 4925889 6020531 9304457 9851778 10399099 12041062 14777667 18061593 18608914 20798198 27913371 29555334 31197297 36123186 54184779 55826742 62394594 83740113 93591891 102349027 108369558 114390089 162554337 167480226 176784683 187183782 204698054 228780178 251220339 280775673 307047081 325108674 343170267 353569366 502440678 530354049 561551346 614094162 686340534 921141243 1029510801 1060708098 1591062147 1842282486 1944631513 2059021602 2763423729 3088532403 3182124294 3889263026 4773186441 5526847458 5833894539 6177064806 9546372882 11667789078 17501683617 35003367234 52505050851 105010101702