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103416820962 = 237131577011721
BaseRepresentation
bin110000001010000011…
…1110111010011100010
3100212221021222211110020
41200110013313103202
53143244201232322
6115301541214310
710320523321440
oct1402407672342
9325837884406
10103416820962
113a94a110284
1218062101396
1399a16749b0
145010b69b90
152a541b605c
hex18141f74e2

103416820962 has 128 divisors (see below), whose sum is σ = 256700441088. Its totient is φ = 27046656000.

The previous prime is 103416820939. The next prime is 103416821003. The reversal of 103416820962 is 269028614301.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60090262 + ... + 60091982.

It is an arithmetic number, because the mean of its divisors is an integer number (2005472196).

Almost surely, 2103416820962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103416820962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128350220544).

103416820962 is an abundant number, since it is smaller than the sum of its proper divisors (153283620126).

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

103416820962 is a wasteful number, since it uses less digits than its factorization.

103416820962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604.

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 103416820962 in words is "one hundred three billion, four hundred sixteen million, eight hundred twenty thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 157 182 273 314 471 546 701 942 1099 1402 1721 2041 2103 2198 3297 3442 4082 4206 4907 5163 6123 6594 9113 9814 10326 12047 12246 14287 14721 18226 22373 24094 27339 28574 29442 36141 42861 44746 54678 63791 67119 72282 85722 110057 127582 134238 156611 191373 220114 270197 313222 330171 382746 469833 540394 660342 770399 810591 939666 1206421 1430741 1540798 1621182 1891379 2311197 2412842 2861482 3512561 3619263 3782758 4292223 4622394 5674137 7025122 7238526 8444947 8584446 10015187 10537683 11348274 15683473 16889894 20030374 21075366 24587927 25334841 30045561 31366946 47050419 49175854 50669682 60091122 73763781 94100838 109784311 147527562 189408097 219568622 329352933 378816194 568224291 658705866 1136448582 1325856679 2462305261 2651713358 3977570037 4924610522 7386915783 7955140074 14773831566 17236136827 34472273654 51708410481 103416820962