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1100340836608 = 28131513835717
BaseRepresentation
bin10000000000110001011…
…011001011100100000000
310220012011122102001122211
4100000301123023210000
5121011444223232413
62201253430511504
7142332320535166
oct20006133134400
93805148361584
101100340836608
11394719797642
12159305b05594
137c9b95a3640
143b38486b236
151d95087983d
hex100316cb900

1100340836608 has 144 divisors (see below), whose sum is σ = 2387634794496. Its totient is φ = 503081164800.

The previous prime is 1100340836599. The next prime is 1100340836627. The reversal of 1100340836608 is 8066380430011.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192465366 + ... + 192471082.

It is an arithmetic number, because the mean of its divisors is an integer number (16580797184).

Almost surely, 21100340836608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100340836608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193817397248).

1100340836608 is an abundant number, since it is smaller than the sum of its proper divisors (1287293957888).

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

1100340836608 is a wasteful number, since it uses less digits than its factorization.

1100340836608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6280 (or 6266 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 1100340836608 in words is "one trillion, one hundred billion, three hundred forty million, eight hundred thirty-six thousand, six hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 151 208 256 302 383 416 604 766 832 1208 1532 1664 1963 2416 3064 3328 3926 4832 4979 5717 6128 7852 9664 9958 11434 12256 15704 19328 19916 22868 24512 31408 38656 39832 45736 49024 57833 62816 74321 79664 91472 98048 115666 125632 148642 159328 182944 231332 251264 297284 318656 365888 462664 502528 594568 637312 731776 751829 863267 925328 1189136 1274624 1463552 1503658 1726534 1850656 2189611 2378272 3007316 3453068 3701312 4379222 4756544 6014632 6906136 7402624 8758444 9513088 11222471 12029264 13812272 14805248 17516888 19026176 22444942 24058528 27624544 28464943 35033776 44889884 48117056 55249088 56929886 70067552 89779768 96234112 110498176 113859772 140135104 179559536 192468224 220996352 227719544 280270208 330631261 359119072 455439088 560540416 661262522 718238144 910878176 1322525044 1436476288 1821756352 2645050088 2872952576 3643512704 4298206393 5290100176 7287025408 8596412786 10580200352 17192825572 21160400704 34385651144 42320801408 68771302288 84641602816 137542604576 275085209152 550170418304 1100340836608