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13003322132100 = 22352138131386247
BaseRepresentation
bin1011110100111001001001…
…1001011000011010000100
31201001002211212200022210010
42331032102121120122010
53201021300431211400
643353351013230220
72511313305302616
oct275162231303204
951032755608703
1013003322132100
114163750390813
12156016a332370
13734292019461
1432d515322db6
151783a615c450
hexbd392658684

13003322132100 has 72 divisors (see below), whose sum is σ = 37650189830848. Its totient is φ = 3465041558400.

The previous prime is 13003322132081. The next prime is 13003322132107. The reversal of 13003322132100 is 123122330031.

It is not an unprimeable number, because it can be changed into a prime (13003322132107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15278824 + ... + 16107423.

Almost surely, 213003322132100 is an apocalyptic number.

13003322132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13003322132100 is an abundant number, since it is smaller than the sum of its proper divisors (24646867698748).

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

13003322132100 is a wasteful number, since it uses less digits than its factorization.

13003322132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31387645 (or 31387638 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13003322132100 its reverse (123122330031), we get a palindrome (13126444462131).

The spelling of 13003322132100 in words is "thirteen trillion, three billion, three hundred twenty-two million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1381 2762 4143 5524 6905 8286 13810 16572 20715 27620 34525 41430 69050 82860 103575 138100 207150 414300 31386247 62772494 94158741 125544988 156931235 188317482 313862470 376634964 470793705 627724940 784656175 941587410 1569312350 1883174820 2353968525 3138624700 4707937050 9415874100 43344407107 86688814214 130033221321 173377628428 216722035535 260066442642 433444071070 520132885284 650166106605 866888142140 1083610177675 1300332213210 2167220355350 2600664426420 3250830533025 4334440710700 6501661066050 13003322132100