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122013402320 = 2451789715737
BaseRepresentation
bin111000110100010010…
…0001100010011010000
3102122221022202001020202
41301220210030103100
53444340412333240
6132015134354332
711546414544005
oct1615044142320
9378838661222
10122013402320
1147822426087
121b79205b9a8
13b676374aa4
145c968cd8ac
153291b14315
hex1c6890c4d0

122013402320 has 40 divisors (see below), whose sum is σ = 300368290824. Its totient is φ = 45934456832.

The previous prime is 122013402289. The next prime is 122013402349. The reversal of 122013402320 is 23204310221.

It can be written as a sum of positive squares in 4 ways, for example, as 29349171856 + 92664230464 = 171316^2 + 304408^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122013402292 and 122013402301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44856509 + ... + 44859228.

Almost surely, 2122013402320 is an apocalyptic number.

122013402320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122013402320 is an abundant number, since it is smaller than the sum of its proper divisors (178354888504).

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

122013402320 is a wasteful number, since it uses less digits than its factorization.

122013402320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89715767 (or 89715761 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 122013402320 its reverse (23204310221), we get a palindrome (145217712541).

The spelling of 122013402320 in words is "one hundred twenty-two billion, thirteen million, four hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 89715737 179431474 358862948 448578685 717725896 897157370 1435451792 1525167529 1794314740 3050335058 3588629480 6100670116 7177258960 7625837645 12201340232 15251675290 24402680464 30503350580 61006701160 122013402320