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2221302031312 = 2471316328793251
BaseRepresentation
bin100000010100101111111…
…010110010001111010000
321212100120100122211220011
4200110233322302033100
5242343211310000222
64420241351324304
7316324635506440
oct40245772621720
97770510584804
102221302031312
1178705a0a6441
122ba605680694
13131610c278b0
1479723b46120
153cbab65ec77
hex2052feb23d0

2221302031312 has 160 divisors (see below), whose sum is σ = 5332938670080. Its totient is φ = 872793792000.

The previous prime is 2221302031303. The next prime is 2221302031327. The reversal of 2221302031312 is 2131302031222.

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, 683265687 + ... + 683268937.

It is an arithmetic number, because the mean of its divisors is an integer number (33330866688).

Almost surely, 22221302031312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221302031312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666469335040).

2221302031312 is an abundant number, since it is smaller than the sum of its proper divisors (3111636638768).

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

2221302031312 is a wasteful number, since it uses less digits than its factorization.

2221302031312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6321 (or 6315 counting only the distinct ones).

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

Adding to 2221302031312 its reverse (2131302031222), we get a palindrome (4352604062534).

The spelling of 2221302031312 in words is "two trillion, two hundred twenty-one billion, three hundred two million, thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 163 182 208 326 364 652 728 1141 1304 1456 2119 2282 2608 2879 3251 4238 4564 5758 6502 8476 9128 11516 13004 14833 16952 18256 20153 22757 23032 26008 29666 33904 37427 40306 42263 45514 46064 52016 59332 74854 80612 84526 91028 118664 149708 161224 169052 182056 237328 261989 295841 299416 322448 338104 364112 469277 523978 529913 591682 598832 676208 938554 1047956 1059826 1183364 1877108 2095912 2119652 2366728 3284939 3709391 3754216 4191824 4239304 4733456 6100601 6569878 6888869 7418782 7508432 8478608 9359629 12201202 13139756 13777738 14837564 18719258 24402404 26279512 27555476 29675128 37438516 42704207 48222083 48804808 52559024 55110952 59350256 65517403 74877032 85408414 96444166 97609616 110221904 121675177 131034806 149754064 170816828 192888332 243350354 262069612 341633656 385776664 486700708 524139224 683267312 771553328 851726239 973401416 1048278448 1525619527 1703452478 1946802832 3051239054 3406904956 6102478108 6813809912 10679336689 12204956216 13627619824 19833053851 21358673378 24409912432 39666107702 42717346756 79332215404 85434693512 138831376957 158664430808 170869387024 277662753914 317328861616 555325507828 1110651015656 2221302031312