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122034101130 = 23255325583669
BaseRepresentation
bin111000110100111001…
…1001001101110001010
3102122222202200122200100
41301221303021232022
53444411212214010
6132021154150230
711550055513254
oct1615163115612
9378882618610
10122034101130
1147833083437
121b798b82376
13b67a7412c6
145c9955acd4
1532938522c0
hex1c69cc9b8a

122034101130 has 48 divisors (see below), whose sum is σ = 323275254120. Its totient is φ = 31928417664.

The previous prime is 122034101087. The next prime is 122034101143. The reversal of 122034101130 is 31101430221.

122034101130 is a `hidden beast` number, since 1 + 220 + 3 + 410 + 1 + 1 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 111351018249 + 10683082881 = 333693^2 + 103359^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12787065 + ... + 12796604.

Almost surely, 2122034101130 is an apocalyptic number.

122034101130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122034101130 is an abundant number, since it is smaller than the sum of its proper divisors (201241152990).

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

122034101130 is a wasteful number, since it uses less digits than its factorization.

122034101130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25583735 (or 25583732 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122034101130 its reverse (31101430221), we get a palindrome (153135531351).

The spelling of 122034101130 in words is "one hundred twenty-two billion, thirty-four million, one hundred one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1590 2385 4770 25583669 51167338 76751007 127918345 153502014 230253021 255836690 383755035 460506042 767510070 1151265105 1355934457 2302530210 2711868914 4067803371 6779672285 8135606742 12203410113 13559344570 20339016855 24406820226 40678033710 61017050565 122034101130