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100701573056 = 267310214493
BaseRepresentation
bin101110111001001001…
…0000000111111000000
3100121221001202221112222
41131302102000333000
53122214100314211
6114132304110212
710163323151000
oct1356222007700
9317831687488
10100701573056
113978645a347
1217624905368
13965ac7cb26
144c342c8000
152945b1d1db
hex1772480fc0

100701573056 has 112 divisors (see below), whose sum is σ = 233317694400. Its totient is φ = 43105950720.

The previous prime is 100701573041. The next prime is 100701573113. The reversal of 100701573056 is 650375107001.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22410746 + ... + 22415238.

It is an arithmetic number, because the mean of its divisors is an integer number (2083193700).

Almost surely, 2100701573056 is an apocalyptic number.

100701573056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100701573056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116658847200).

100701573056 is an abundant number, since it is smaller than the sum of its proper divisors (132616121344).

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

100701573056 is an equidigital number, since it uses as much as digits as its factorization.

100701573056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5547 (or 5523 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 35.

The spelling of 100701573056 in words is "one hundred billion, seven hundred one million, five hundred seventy-three thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 343 392 448 686 784 1021 1372 1568 2042 2744 3136 4084 4493 5488 7147 8168 8986 10976 14294 16336 17972 21952 28588 31451 32672 35944 50029 57176 62902 65344 71888 100058 114352 125804 143776 200116 220157 228704 251608 287552 350203 400232 440314 457408 503216 700406 800464 880628 1006432 1400812 1541099 1600928 1761256 2012864 2801624 3082198 3201856 3522512 4587353 5603248 6164396 7045024 9174706 11206496 12328792 14090048 18349412 22412992 24657584 32111471 36698824 49315168 64222942 73397648 98630336 128445884 146795296 224780297 256891768 293590592 449560594 513783536 899121188 1027567072 1573462079 1798242376 2055134144 3146924158 3596484752 6293848316 7192969504 12587696632 14385939008 25175393264 50350786528 100701573056