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102230022012312 = 23341211563987317
BaseRepresentation
bin10111001111101001001000…
…001001011011110110011000
3111101222002120000011022100010
4113033221020021123312120
5101344414041113343222
61001231453533441520
730350606150403105
oct2717511011336630
9441862500138303
10102230022012312
112a634566327387
12b570a436402a0
1345073327ca8bc
141b35d60abbaac
15bc438674780c
hex5cfa4825bd98

102230022012312 has 128 divisors (see below), whose sum is σ = 263099053324800. Its totient is φ = 33081727257600.

The previous prime is 102230022012301. The next prime is 102230022012359. The reversal of 102230022012312 is 213210220032201.

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, 1170748078 + ... + 1170835394.

It is an arithmetic number, because the mean of its divisors is an integer number (2055461354100).

Almost surely, 2102230022012312 is an apocalyptic number.

102230022012312 is a gapful number since it is divisible by the number (12) 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 102230022012312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131549526662400).

102230022012312 is an abundant number, since it is smaller than the sum of its proper divisors (160869031312488).

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

102230022012312 is a wasteful number, since it uses less digits than its factorization.

102230022012312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93217 (or 93213 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 102230022012312 its reverse (213210220032201), we get a palindrome (315440242044513).

The spelling of 102230022012312 in words is "one hundred two trillion, two hundred thirty billion, twenty-two million, twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 211 246 328 422 492 633 844 984 1266 1688 2532 5064 5639 8651 11278 16917 17302 22556 25953 33834 34604 45112 51906 67668 69208 87317 103812 135336 174634 207624 231199 261951 349268 462398 523902 693597 698536 924796 1047804 1189829 1387194 1849592 2095608 2379658 2774388 3569487 3579997 4759316 5548776 7138974 7159994 9518632 10739991 14277948 14319988 18423887 21479982 28555896 28639976 36847774 42959964 48782989 55271661 73695548 85919928 97565978 110543322 146348967 147391096 195131956 221086644 292697934 390263912 442173288 492380563 585395868 755379367 984761126 1170791736 1477141689 1510758734 1969522252 2266138101 2954283378 3021517468 3939044504 4532276202 5908566756 6043034936 9064552404 11817133512 18129104808 20187603083 40375206166 60562809249 80750412332 103892298793 121125618498 161500824664 207784597586 242251236996 311676896379 415569195172 484502473992 623353792758 831138390344 1246707585516 2493415171032 4259584250513 8519168501026 12778752751539 17038337002052 25557505503078 34076674004104 51115011006156 102230022012312