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113313122000320 = 26511149216048509
BaseRepresentation
bin11001110000111011000100…
…011000101001110111000000
3112212012121222022002202202011
4121300323010120221313000
5104323010233213002240
61040555155110302304
732603413540046104
oct3160730430516700
9485177868082664
10113313122000320
1133117909336230
1210860a13357994
134b2c4c6379198
141dda5549c1904
15d178036156ea
hex670ec4629dc0

113313122000320 has 112 divisors (see below), whose sum is σ = 296332136316000. Its totient is φ = 40928229355520.

The previous prime is 113313122000317. The next prime is 113313122000321. The reversal of 113313122000320 is 23000221313311.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 113313122000291 and 113313122000300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113313122000321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107499775 + ... + 108548734.

Almost surely, 2113313122000320 is an apocalyptic number.

113313122000320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113313122000320 is an abundant number, since it is smaller than the sum of its proper divisors (183019014315680).

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

113313122000320 is a wasteful number, since it uses less digits than its factorization.

113313122000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216048686 (or 216048676 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 113313122000320 its reverse (23000221313311), we get a palindrome (136313343313631).

The spelling of 113313122000320 in words is "one hundred thirteen trillion, three hundred thirteen billion, one hundred twenty-two million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 149 160 176 220 298 320 352 440 596 704 745 880 1192 1490 1639 1760 2384 2980 3278 3520 4768 5960 6556 8195 9536 11920 13112 16390 23840 26224 32780 47680 52448 65560 104896 131120 262240 524480 216048509 432097018 864194036 1080242545 1728388072 2160485090 2376533599 3456776144 4320970180 4753067198 6913552288 8641940360 9506134396 11882667995 13827104576 17283880720 19012268792 23765335990 32191227841 34567761440 38024537584 47530671980 64382455682 69135522880 76049075168 95061343960 128764911364 152098150336 160956139205 190122687920 257529822728 321912278410 354103506251 380245375840 515059645456 643824556820 708207012502 760490751680 1030119290912 1287649113640 1416414025004 1770517531255 2060238581824 2575298227280 2832828050008 3541035062510 5150596454560 5665656100016 7082070125020 10301192909120 11331312200032 14164140250040 22662624400064 28328280500080 56656561000160 113313122000320