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101045456313306 = 233710312734795483
BaseRepresentation
bin10110111110011001111010…
…100001111001101111011010
3111020202211222120210221000020
4112332121322201321233122
5101221012043304011211
6554523350343451310
730166202414162121
oct2676317241715732
9436684876727006
10101045456313306
112a21815692604a
12b3bb352a56b36
13444c712a2009b
141ad48aa34aab8
15ba3656a5d306
hex5be67a879bda

101045456313306 has 64 divisors (see below), whose sum is σ = 211218052251648. Its totient is φ = 32197790495808.

The previous prime is 101045456313283. The next prime is 101045456313317. The reversal of 101045456313306 is 603313654540101.

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 31 ways as a sum of consecutive naturals, for example, 14493760 + ... + 20301723.

It is an arithmetic number, because the mean of its divisors is an integer number (3300282066432).

Almost surely, 2101045456313306 is an apocalyptic number.

101045456313306 is an abundant number, since it is smaller than the sum of its proper divisors (110172595938342).

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

101045456313306 is a wasteful number, since it uses less digits than its factorization.

101045456313306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34795755.

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 101045456313306 in words is "one hundred one trillion, forty-five billion, four hundred fifty-six million, three hundred thirteen thousand, three hundred six".

Divisors: 1 2 3 6 37 74 103 111 127 206 222 254 309 381 618 762 3811 4699 7622 9398 11433 13081 14097 22866 26162 28194 39243 78486 483997 967994 1451991 2903982 34795483 69590966 104386449 208772898 1287432871 2574865742 3583934749 3862298613 4419026341 7167869498 7724597226 8838052682 10751804247 13257079023 21503608494 26514158046 132605585713 163503974617 265211171426 327007949234 397816757139 455159713123 490511923851 795633514278 910319426246 981023847702 1365479139369 2730958278738 16840909385551 33681818771102 50522728156653 101045456313306