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112137530274 = 23572114153197
BaseRepresentation
bin110100001101111101…
…0101110101110100010
3101201110001112202200000
41220123322232232202
53314124201432044
6123303144240430
711046605165100
oct1503372565642
9351401482600
10112137530274
1143614792260
1219896770116
13a7612c8413
1455db03cc70
152db4ac4d69
hex1a1beaeba2

112137530274 has 576 divisors, whose sum is σ = 335418475392. Its totient is φ = 27738547200.

The previous prime is 112137530273. The next prime is 112137530279. The reversal of 112137530274 is 472035731211.

112137530274 is a `hidden beast` number, since 1 + 1 + 21 + 37 + 530 + 2 + 74 = 666.

It is not an unprimeable number, because it can be changed into a prime (112137530273) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 569225944 + ... + 569226140.

It is an arithmetic number, because the mean of its divisors is an integer number (582323742).

Almost surely, 2112137530274 is an apocalyptic number.

112137530274 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112137530274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167709237696).

112137530274 is an abundant number, since it is smaller than the sum of its proper divisors (223280945118).

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

112137530274 is a wasteful number, since it uses less digits than its factorization.

112137530274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

It can be divided in two parts, 112137 and 530274, that added together give a triangular number (642411 = T1133).

The spelling of 112137530274 in words is "one hundred twelve billion, one hundred thirty-seven million, five hundred thirty thousand, two hundred seventy-four".