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122113032330330 = 23251737842840869
BaseRepresentation
bin11011110000111110100111…
…111010100001110001011010
3121000100220002011220012111100
4123300332213322201301122
5112001144442234032310
61111413541433012230
734502242530510666
oct3360764772416132
9530326064805440
10122113032330330
11359aa9342a7828
12118423a7554076
13531a295482032
1422224337238a6
15e1b690a58ec0
hex6f0fa7ea1c5a

122113032330330 has 48 divisors (see below), whose sum is σ = 319329108862920. Its totient is φ = 32375247103104.

The previous prime is 122113032330299. The next prime is 122113032330347. The reversal of 122113032330330 is 33033230311221.

122113032330330 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 1 + 3 + 0 + 323 + 3 + 0 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 119417009540481 + 2696022789849 = 10927809^2 + 1641957^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122113032330294 and 122113032330303.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3921404865 + ... + 3921436004.

Almost surely, 2122113032330330 is an apocalyptic number.

122113032330330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122113032330330 is an abundant number, since it is smaller than the sum of its proper divisors (197216076532590).

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

122113032330330 is a wasteful number, since it uses less digits than its factorization.

122113032330330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7842841055 (or 7842841052 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 122113032330330 its reverse (33033230311221), we get a palindrome (155146262641551).

The spelling of 122113032330330 in words is "one hundred twenty-two trillion, one hundred thirteen billion, thirty-two million, three hundred thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 173 346 519 865 1038 1557 1730 2595 3114 5190 7785 15570 7842840869 15685681738 23528522607 39214204345 47057045214 70585567821 78428408690 117642613035 141171135642 235285226070 352927839105 705855678210 1356811470337 2713622940674 4070434411011 6784057351685 8140868822022 12211303233033 13568114703370 20352172055055 24422606466066 40704344110110 61056516165165 122113032330330