Search a number
-
+
22002031132312 = 23711317330375197
BaseRepresentation
bin1010000000010101111110…
…01111111111111010011000
32212220101002101020120100111
411000022333033333322120
510340440124432213222
6114443332113214104
74430410561614340
oct500127717777230
985811071216314
1022002031132312
117013010a89670
122574183861334
13c37a235a293a
14560c9278bd20
152824cb325777
hex1402bf3ffe98

22002031132312 has 256 divisors, whose sum is σ = 53847833518080. Its totient is φ = 8177789030400.

The previous prime is 22002031132307. The next prime is 22002031132357. The reversal of 22002031132312 is 21323113020022.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4233599698 + ... + 4233604894.

It is an arithmetic number, because the mean of its divisors is an integer number (210343099680).

Almost surely, 222002031132312 is an apocalyptic number.

22002031132312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22002031132312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26923916759040).

22002031132312 is an abundant number, since it is smaller than the sum of its proper divisors (31845802385768).

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

22002031132312 is a wasteful number, since it uses less digits than its factorization.

22002031132312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8362 (or 8358 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 22002031132312 its reverse (21323113020022), we get a palindrome (43325144152334).

The spelling of 22002031132312 in words is "twenty-two trillion, two billion, thirty-one million, one hundred thirty-two thousand, three hundred twelve".