Search a number
-
+
112970326590 = 234511233747317
BaseRepresentation
bin110100100110110001…
…1100110001000111110
3101210121002121012110000
41221031203212020332
53322330400422330
6123521534055130
711106336634512
oct1511543461076
9353532535400
10112970326590
1143a01893480
1219a8964a4a6
13a8649c1cc4
1456798a4142
152e12c79560
hex1a4d8e623e

112970326590 has 640 divisors, whose sum is σ = 363833192448. Its totient is φ = 24867025920.

The previous prime is 112970326541. The next prime is 112970326591. The reversal of 112970326590 is 95623079211.

It is a happy number.

112970326590 is a `hidden beast` number, since 1 + 1 + 29 + 7 + 0 + 32 + 6 + 590 = 666.

It is a super-2 number, since 2×1129703265902 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112970326591) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 356373112 + ... + 356373428.

Almost surely, 2112970326590 is an apocalyptic number.

112970326590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112970326590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181916596224).

112970326590 is an abundant number, since it is smaller than the sum of its proper divisors (250862865858).

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

112970326590 is a wasteful number, since it uses less digits than its factorization.

112970326590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 112970326590 in words is "one hundred twelve billion, nine hundred seventy million, three hundred twenty-six thousand, five hundred ninety".