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20164122330 = 23511521117281
BaseRepresentation
bin10010110001111000…
…000001011011011010
31221001021100112202120
4102301320001123122
5312244003403310
613132511042110
71312454132442
oct226170013332
957037315676
1020164122330
118608137610
123aa8b10336
131b946ac841
14d94009122
157d0389b70
hex4b1e016da

20164122330 has 64 divisors (see below), whose sum is σ = 52895120256. Its totient is φ = 4878848000.

The previous prime is 20164122281. The next prime is 20164122403. The reversal of 20164122330 is 3322146102.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20164122330.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113290 + ... + 230570.

It is an arithmetic number, because the mean of its divisors is an integer number (826486254).

Almost surely, 220164122330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20164122330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26447560128).

20164122330 is an abundant number, since it is smaller than the sum of its proper divisors (32730997926).

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

20164122330 is a wasteful number, since it uses less digits than its factorization.

20164122330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117823.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 20164122330 its reverse (3322146102), we get a palindrome (23486268432).

The spelling of 20164122330 in words is "twenty billion, one hundred sixty-four million, one hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 521 1042 1563 2605 3126 5210 5731 7815 11462 15630 17193 28655 34386 57310 85965 117281 171930 234562 351843 586405 703686 1172810 1290091 1759215 2580182 3518430 3870273 6450455 7740546 12900910 19351365 38702730 61103401 122206802 183310203 305517005 366620406 611034010 672137411 916551015 1344274822 1833102030 2016412233 3360687055 4032824466 6721374110 10082061165 20164122330