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13021303311100 = 22527217156318167
BaseRepresentation
bin1011110101111100001000…
…1010001000101011111100
31201002211021000102212020201
42331133002022020223330
53201320112121423400
643405523144253244
72512521014636200
oct275370212105374
951084230385221
1013021303311100
114170338288727
121563748171224
13735b9938a146
1433033d450b00
15178aa9a4906a
hexbd7c2288afc

13021303311100 has 108 divisors (see below), whose sum is σ = 34802989559856. Its totient is φ = 4201832302080.

The previous prime is 13021303311053. The next prime is 13021303311113. The reversal of 13021303311100 is 111330312031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 78075784 + ... + 78242383.

It is an arithmetic number, because the mean of its divisors is an integer number (322249903332).

Almost surely, 213021303311100 is an apocalyptic number.

13021303311100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13021303311100 is an abundant number, since it is smaller than the sum of its proper divisors (21781686248756).

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

13021303311100 is a wasteful number, since it uses less digits than its factorization.

13021303311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156318212 (or 156318198 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 13021303311100 its reverse (111330312031), we get a palindrome (13132633623131).

The spelling of 13021303311100 in words is "thirteen trillion, twenty-one billion, three hundred three million, three hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 49 50 68 70 85 98 100 119 140 170 175 196 238 245 340 350 425 476 490 595 700 833 850 980 1190 1225 1666 1700 2380 2450 2975 3332 4165 4900 5950 8330 11900 16660 20825 41650 83300 156318167 312636334 625272668 781590835 1094227169 1563181670 2188454338 2657408839 3126363340 3907954175 4376908676 5314817678 5471135845 7659590183 7815908350 10629635356 10942271690 13287044195 15319180366 15631816700 18601861873 21884543380 26574088390 27355679225 30638360732 37203723746 38297950915 53148176780 54711358450 66435220975 74407447492 76595901830 93009309365 109422716900 130213033111 132870441950 153191803660 186018618730 191489754575 260426066222 265740883900 372037237460 382979509150 465046546825 520852132444 651065165555 765959018300 930093093650 1302130331110 1860186187300 2604260662220 3255325827775 6510651655550 13021303311100