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11372755082130 = 234513283079517
BaseRepresentation
bin1010010101111110110100…
…0001101101101110010010
31111021020001212002211010000
42211133231001231232102
52442312400300112010
640104323242350430
72252440321124031
oct245375501555622
944236055084100
1011372755082130
113695181836262
1213381487bb416
136465a53cb400
142b4631180718
1514ac7128e7c0
hexa57ed06db92

11372755082130 has 120 divisors (see below), whose sum is σ = 33113335807332. Its totient is φ = 2799447371136.

The previous prime is 11372755082089. The next prime is 11372755082131. The reversal of 11372755082130 is 3128055727311.

11372755082130 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 2 + 7 + 5 + 508 + 2 + 130 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3636240913449 + 7736514168681 = 1906893^2 + 2781459^2 .

It is a super-2 number, since 2×113727550821302 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11372755082131) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 41402869 + ... + 41676648.

Almost surely, 211372755082130 is an apocalyptic number.

11372755082130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11372755082130 is an abundant number, since it is smaller than the sum of its proper divisors (21740580725202).

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

11372755082130 is a wasteful number, since it uses less digits than its factorization.

11372755082130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83079562 (or 83079540 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 11372755082130 in words is "eleven trillion, three hundred seventy-two billion, seven hundred fifty-five million, eighty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 169 195 234 270 338 351 390 405 507 585 702 810 845 1014 1053 1170 1521 1690 1755 2106 2535 3042 3510 4563 5070 5265 7605 9126 10530 13689 15210 22815 27378 45630 68445 136890 83079517 166159034 249238551 415397585 498477102 747715653 830795170 1080033721 1246192755 1495431306 2160067442 2243146959 2492385510 3240101163 3738578265 4486293918 5400168605 6480202326 6729440877 7477156530 9720303489 10800337210 11215734795 13458881754 14040438373 16200505815 19440606978 22431469590 28080876746 29160910467 32401011630 33647204385 42121315119 48601517445 58321820934 67294408770 70202191865 84242630238 87482731401 97203034890 126363945357 140404383730 145804552335 174965462802 210606575595 252727890714 291609104670 379091836071 421213151190 437413657005 631819726785 758183672142 874827314010 1137275508213 1263639453570 1895459180355 2274551016426 3790918360710 5686377541065 11372755082130