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106442314366102 = 211132514261347987
BaseRepresentation
bin11000001100111100001000…
…010101100011110010010110
3111221212210012220100222010021
4120030330020111203302112
5102422422324434203402
61014214531341415354
731264126530552331
oct3014741025436226
9457783186328107
10106442314366102
1130a08a28572520
12bb3129786a55a
13475160c4cb710
141c3db9a89d618
15c48c1ede5d37
hex60cf08563c96

106442314366102 has 64 divisors (see below), whose sum is σ = 188368721710848. Its totient is φ = 44472610800000.

The previous prime is 106442314366099. The next prime is 106442314366103. The reversal of 106442314366102 is 201663413244601.

It is a super-2 number, since 2×1064423143661022 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106442314366103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305706153 + ... + 306054139.

It is an arithmetic number, because the mean of its divisors is an integer number (2943261276732).

Almost surely, 2106442314366102 is an apocalyptic number.

106442314366102 is a deficient number, since it is larger than the sum of its proper divisors (81926407344746).

106442314366102 is a wasteful number, since it uses less digits than its factorization.

106442314366102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352525.

The product of its (nonzero) digits is 497664, while the sum is 43.

The spelling of 106442314366102 in words is "one hundred six trillion, four hundred forty-two billion, three hundred fourteen million, three hundred sixty-six thousand, one hundred two".

Divisors: 1 2 11 13 22 26 143 251 286 502 2761 3263 4261 5522 6526 8522 35893 46871 55393 71786 93742 110786 347987 609323 695974 1069511 1218646 2139022 3827857 4523831 7655714 9047662 11764621 13903643 23529242 27807286 49762141 87344737 99524282 152940073 174689474 305880146 960792107 1135481581 1482772607 1921584214 2270963162 2965545214 12490297391 16310498677 19276043891 24980594782 32620997354 38552087782 212036482801 372175924357 424072965602 744351848714 4093935167927 4838287016641 8187870335854 9676574033282 53221157183051 106442314366102