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20122032330 = 23257915111873
BaseRepresentation
bin10010101111010111…
…011101100011001010
31220221100011011010200
4102233113131203022
5312202220013310
613124404553030
71311433311201
oct225727354312
956840134120
1020122032330
1185963a9794
123a969b2776
131b88a6390a
14d8c5b0238
157cb8239c0
hex4af5dd8ca

20122032330 has 96 divisors (see below), whose sum is σ = 53042895360. Its totient is φ = 5291619840.

The previous prime is 20122032317. The next prime is 20122032331. The reversal of 20122032330 is 3323022102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20122032331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10742274 + ... + 10744146.

It is an arithmetic number, because the mean of its divisors is an integer number (552530160).

Almost surely, 220122032330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20122032330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26521447680).

20122032330 is an abundant number, since it is smaller than the sum of its proper divisors (32920863030).

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

20122032330 is a wasteful number, since it uses less digits than its factorization.

20122032330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3476 (or 3473 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20122032330 its reverse (3323022102), we get a palindrome (23445054432).

The spelling of 20122032330 in words is "twenty billion, one hundred twenty-two million, thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 79 90 158 237 395 474 711 790 1185 1422 1511 1873 2370 3022 3555 3746 4533 5619 7110 7555 9066 9365 11238 13599 15110 16857 18730 22665 27198 28095 33714 45330 56190 67995 84285 119369 135990 147967 168570 238738 295934 358107 443901 596845 716214 739835 887802 1074321 1193690 1331703 1479670 1790535 2148642 2219505 2663406 2830103 3581070 4439010 5371605 5660206 6658515 8490309 10743210 13317030 14150515 16980618 25470927 28301030 42451545 50941854 84903090 127354635 223578137 254709270 447156274 670734411 1117890685 1341468822 2012203233 2235781370 3353672055 4024406466 6707344110 10061016165 20122032330