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253230434656122 = 237115954117172149
BaseRepresentation
bin111001100100111111001110…
…000110101001111101111010
31020012121121000101112000010210
4321210333032012221331322
5231142411412232443442
62254324242232451550
7104224203144410640
oct7144771606517572
91205547011460123
10253230434656122
1173761473728980
1224499908249bb6
13ab3b6b1c7c981
1446765c0277190
151e4218874d19c
hexe64fce1a9f7a

253230434656122 has 128 divisors (see below), whose sum is σ = 643320942336000. Its totient is φ = 64539801043200.

The previous prime is 253230434656091. The next prime is 253230434656123. The reversal of 253230434656122 is 221656434032352.

It is a super-2 number, since 2×2532304346561222 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (253230434656123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6160504 + ... + 23332652.

It is an arithmetic number, because the mean of its divisors is an integer number (5025944862000).

Almost surely, 2253230434656122 is an apocalyptic number.

253230434656122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 253230434656122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321660471168000).

253230434656122 is an abundant number, since it is smaller than the sum of its proper divisors (390090507679878).

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

253230434656122 is a wasteful number, since it uses less digits than its factorization.

253230434656122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17172772.

The product of its (nonzero) digits is 6220800, while the sum is 48.

Adding to 253230434656122 its reverse (221656434032352), we get a palindrome (474886868688474).

The spelling of 253230434656122 in words is "two hundred fifty-three trillion, two hundred thirty billion, four hundred thirty-four million, six hundred fifty-six thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 59 66 77 118 154 177 231 354 413 462 541 649 826 1082 1239 1298 1623 1947 2478 3246 3787 3894 4543 5951 7574 9086 11361 11902 13629 17853 22722 27258 31919 35706 41657 63838 83314 95757 124971 191514 223433 249942 351109 446866 670299 702218 1053327 1340598 2106654 2457763 4915526 7373289 14746578 17172149 34344298 51516447 103032894 120205043 188893639 240410086 360615129 377787278 566680917 721230258 1013156791 1133361834 1322255473 2026313582 2644510946 3039470373 3966766419 6078940746 7092097537 7933532838 9290132609 11144724701 14184195074 18580265218 21276292611 22289449402 27870397827 33434174103 42552585222 55740795654 65030928263 66868348206 78013072907 102191458699 130061856526 156026145814 195092784789 204382917398 234039218721 306574376097 390185569578 468078437442 548117823931 613148752194 715340210893 1096235647862 1430680421786 1644353471793 2146020632679 3288706943586 3836824767517 4292041265358 6029296063241 7673649535034 11510474302551 12058592126482 18087888189723 23020948605102 36175776379446 42205072442687 84410144885374 126615217328061 253230434656122