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103121131203220 = 225131130213509257
BaseRepresentation
bin10111011100100111000010…
…011001001110101010010100
3111112010021122221022111022211
4113130213002121032222110
5102004014034042000340
61003153105500203204
730502153522504324
oct2734470231165224
9445107587274284
10103121131203220
112a948476224769
12b695696239504
134570386317710
141b67137393284
15bdc63d4655ea
hex5dc9c264ea94

103121131203220 has 48 divisors (see below), whose sum is σ = 233214534313488. Its totient is φ = 38075146859520.

The previous prime is 103121131203179. The next prime is 103121131203229. The reversal of 103121131203220 is 22302131121301.

It can be written as a sum of positive squares in 8 ways, for example, as 7609719479184 + 95511411724036 = 2758572^2 + 9772994^2 .

It is a junction number, because it is equal to n+sod(n) for n = 103121131203191 and 103121131203200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103121131203229) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 27630832 + ... + 31140088.

It is an arithmetic number, because the mean of its divisors is an integer number (4858636131531).

Almost surely, 2103121131203220 is an apocalyptic number.

103121131203220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103121131203220 is an abundant number, since it is smaller than the sum of its proper divisors (130093403110268).

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

103121131203220 is a wasteful number, since it uses less digits than its factorization.

103121131203220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3622300 (or 3622298 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 103121131203220 its reverse (22302131121301), we get a palindrome (125423262324521).

The spelling of 103121131203220 in words is "one hundred three trillion, one hundred twenty-one billion, one hundred thirty-one million, two hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 113021 226042 452084 565105 1130210 1469273 2260420 2938546 3509257 5877092 7018514 7346365 14037028 14692730 17546285 29385460 35092570 45620341 70185140 91240682 182481364 228101705 456203410 912406820 396619735397 793239470794 1586478941588 1983098676985 3966197353970 5156056560161 7932394707940 10312113120322 20624226240644 25780282800805 51560565601610 103121131203220