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220101300310232 = 231183149686929443
BaseRepresentation
bin110010000010111001010011…
…110100011101000011011000
31001212022110221001111111210002
4302002321103310131003120
5212322114430334411412
62100041050320512132
764234536255640025
oct6202712364350330
91055273831444702
10220101300310232
1164149489aa5840
122082913417b648
1395a7604598593
143c4cd618a454c
151a6a5173b1dc2
hexc82e53d1d0d8

220101300310232 has 128 divisors (see below), whose sum is σ = 458771675040000. Its totient is φ = 98159684528640.

The previous prime is 220101300310211. The next prime is 220101300310301. The reversal of 220101300310232 is 232013003101022.

It is a congruent number.

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, 7475490503 + ... + 7475519945.

It is an arithmetic number, because the mean of its divisors is an integer number (3584153711250).

Almost surely, 2220101300310232 is an apocalyptic number.

220101300310232 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 220101300310232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229385837520000).

220101300310232 is an abundant number, since it is smaller than the sum of its proper divisors (238670374729768).

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

220101300310232 is a wasteful number, since it uses less digits than its factorization.

220101300310232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36561 (or 36557 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 220101300310232 its reverse (232013003101022), we get a palindrome (452114303411254).

The spelling of 220101300310232 in words is "two hundred twenty trillion, one hundred one billion, three hundred million, three hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 83 88 149 166 298 332 596 664 913 1192 1639 1826 3278 3652 6556 6869 7304 12367 13112 13738 24734 27476 29443 49468 54952 58886 75559 98936 117772 136037 151118 235544 272074 302236 323873 544148 570127 604472 647746 1023481 1088296 1140254 1295492 2046962 2280508 2443769 2590984 4093924 4387007 4561016 4887538 6271397 8187848 8774014 9775076 11258291 12542794 17548028 19550152 22516582 25085588 26881459 35096056 45033164 48257077 50171176 53762918 84948923 90066328 96514154 107525836 169897846 193028308 202243967 215051672 339795692 364121581 386056616 404487934 679591384 728243162 808975868 934438153 1456486324 1617951736 1868876306 2224683637 2912972648 3737752612 4005337391 4449367274 7475505224 8010674782 8898734548 16021349564 16786249261 17797469096 30134351083 32042699128 33572498522 60268702166 67144997044 120537404332 134289994088 184648741871 241074808664 331477861913 369297483742 662955723826 738594967484 1325911447652 1477189934968 2501151139889 2651822895304 5002302279778 10004604559556 20009209119112 27512662538779 55025325077558 110050650155116 220101300310232