Search a number
-
+
13121322211320 = 23356531231136027
BaseRepresentation
bin1011111011110000101110…
…1111111101011111111000
31201110101102111122102201120
42332330023233331133320
53204434431441230240
643523504024345240
72522661411363321
oct276741357753770
951411374572646
1013121322211320
1141a97a3352844
12157b000315220
13742448a8653b
1433510abd1448
1517b4b0768ad0
hexbef0bbfd7f8

13121322211320 has 128 divisors (see below), whose sum is σ = 39456564618240. Its totient is φ = 3490797150720.

The previous prime is 13121322211307. The next prime is 13121322211351. The reversal of 13121322211320 is 2311222312131.

It is a super-2 number, since 2×131213222113202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96393147 + ... + 96529173.

It is an arithmetic number, because the mean of its divisors is an integer number (308254411080).

Almost surely, 213121322211320 is an apocalyptic number.

13121322211320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13121322211320 is an abundant number, since it is smaller than the sum of its proper divisors (26335242406920).

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

13121322211320 is a wasteful number, since it uses less digits than its factorization.

13121322211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137925 (or 137921 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 13121322211320 its reverse (2311222312131), we get a palindrome (15432544523451).

The spelling of 13121322211320 in words is "thirteen trillion, one hundred twenty-one billion, three hundred twenty-two million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 653 1231 1306 1959 2462 2612 3265 3693 3918 4924 5224 6155 6530 7386 7836 9795 9848 12310 13060 14772 15672 18465 19590 24620 26120 29544 36930 39180 49240 73860 78360 136027 147720 272054 408081 544108 680135 803843 816162 1088216 1360270 1607686 1632324 2040405 2411529 2720540 3215372 3264648 4019215 4080810 4823058 5441080 6430744 8038430 8161620 9646116 12057645 16076860 16323240 19292232 24115290 32153720 48230580 88825631 96461160 167449237 177651262 266476893 334898474 355302524 444128155 502347711 532953786 669796948 710605048 837246185 888256310 1004695422 1065907572 1332384465 1339593896 1674492370 1776512620 2009390844 2131815144 2511738555 2664768930 3348984740 3553025240 4018781688 5023477110 5329537860 6697969480 10046954220 10659075720 20093908440 109344351761 218688703522 328033055283 437377407044 546721758805 656066110566 874754814088 1093443517610 1312132221132 1640165276415 2186887035220 2624264442264 3280330552830 4373774070440 6560661105660 13121322211320