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122020112310 = 23553614612729
BaseRepresentation
bin111000110100011110…
…1110010011110110110
3102122221210100221121220
41301220331302132312
53444344122043220
6132015534251210
711546525561445
oct1615075623666
9378853327556
10122020112310
1147826199428
121b794356b06
13b677883cb5
145c97758d5c
1532924dc540
hex1c68f727b6

122020112310 has 128 divisors (see below), whose sum is σ = 304034290560. Its totient is φ = 31321804800.

The previous prime is 122020112261. The next prime is 122020112311. The reversal of 122020112310 is 13211020221.

It is a super-2 number, since 2×1220201123102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122020112310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122020112311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44711026 + ... + 44713754.

It is an arithmetic number, because the mean of its divisors is an integer number (2375267895).

Almost surely, 2122020112310 is an apocalyptic number.

122020112310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122020112310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152017145280).

122020112310 is an abundant number, since it is smaller than the sum of its proper divisors (182014178250).

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

122020112310 is a wasteful number, since it uses less digits than its factorization.

122020112310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3314.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 122020112310 its reverse (13211020221), we get a palindrome (135231132531).

The spelling of 122020112310 in words is "one hundred twenty-two billion, twenty million, one hundred twelve thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 53 61 106 122 159 183 265 305 318 366 461 530 610 795 915 922 1383 1590 1830 2305 2729 2766 3233 4610 5458 6466 6915 8187 9699 13645 13830 16165 16374 19398 24433 27290 28121 32330 40935 48495 48866 56242 73299 81870 84363 96990 122165 140605 144637 146598 166469 168726 244330 281210 289274 332938 366495 421815 433911 499407 723185 732990 832345 843630 867822 998814 1258069 1446370 1490413 1664690 2169555 2497035 2516138 2980826 3774207 4339110 4471239 4994070 6290345 7452065 7548414 8822857 8942478 12580690 14904130 17645714 18871035 22356195 26468571 37742070 44114285 44712390 52937142 66677657 76742209 88228570 132342855 133355314 153484418 200032971 230226627 264685710 333388285 383711045 400065942 460453254 666776570 767422090 1000164855 1151133135 2000329710 2302266270 4067337077 8134674154 12202011231 20336685385 24404022462 40673370770 61010056155 122020112310