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13033032031100 = 22523110141625781
BaseRepresentation
bin1011110110100111110100…
…1111101001101101111100
31201010221112102002120101202
42331221331033221231330
53202013122144443400
643415143043355032
72513414453261144
oct275517517515574
951127472076352
1013033032031100
1141753068a1654
121565a80082a78
1373701826b353
14330b33013924
151790445804d5
hexbda7d3e9b7c

13033032031100 has 72 divisors (see below), whose sum is σ = 29483041881216. Its totient is φ = 4995093600000.

The previous prime is 13033032031081. The next prime is 13033032031109. The reversal of 13033032031100 is 113023033031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13033032031109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 20499791 + ... + 21125990.

Almost surely, 213033032031100 is an apocalyptic number.

13033032031100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13033032031100 is an abundant number, since it is smaller than the sum of its proper divisors (16450009850116).

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

13033032031100 is a wasteful number, since it uses less digits than its factorization.

13033032031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41625927 (or 41625920 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 13033032031100 its reverse (113023033031), we get a palindrome (13146055064131).

The spelling of 13033032031100 in words is "thirteen trillion, thirty-three billion, thirty-two million, thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 101 124 155 202 310 404 505 620 775 1010 1550 2020 2525 3100 3131 5050 6262 10100 12524 15655 31310 62620 78275 156550 313100 41625781 83251562 166503124 208128905 416257810 832515620 1040644525 1290399211 2081289050 2580798422 4162578100 4204203881 5161596844 6451996055 8408407762 12903992110 16816815524 21021019405 25807984220 32259980275 42042038810 64519960550 84084077620 105105097025 129039921100 130330320311 210210194050 260660640622 420420388100 521321281244 651651601555 1303303203110 2606606406220 3258258007775 6516516015550 13033032031100