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102310001022220 = 225311671369172173
BaseRepresentation
bin10111010000110011100111…
…010001001001010100001100
3111102020201222212202222100021
4113100303213101021110030
5101402221340230202340
61001332322101311524
730356440125643105
oct2720634721112414
9442221885688307
10102310001022220
112a6654783a7282
12b5844444055a4
134511a3a493734
141b39b8ab513ac
15bc64b7e6be4a
hex5d0ce744950c

102310001022220 has 96 divisors (see below), whose sum is σ = 223129101275136. Its totient is φ = 39363301651200.

The previous prime is 102310001022217. The next prime is 102310001022263. The reversal of 102310001022220 is 22220100013201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102310001022194 and 102310001022203.

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, 1417530054 + ... + 1417602226.

It is an arithmetic number, because the mean of its divisors is an integer number (2324261471616).

Almost surely, 2102310001022220 is an apocalyptic number.

102310001022220 is a gapful number since it is divisible by the number (10) 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 102310001022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111564550637568).

102310001022220 is an abundant number, since it is smaller than the sum of its proper divisors (120819100252916).

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

102310001022220 is a wasteful number, since it uses less digits than its factorization.

102310001022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86071 (or 86069 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 102310001022220 its reverse (22220100013201), we get a palindrome (124530101035421).

The spelling of 102310001022220 in words is "one hundred two trillion, three hundred ten billion, one million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 167 310 334 620 668 835 1670 3340 5177 10354 13691 20708 25885 27382 51770 54764 68455 72173 103540 136910 144346 273820 288692 360865 424421 721730 848842 1443460 1697684 2122105 2237363 2286397 4244210 4474726 4572794 8488420 8949452 9145588 11186815 11431985 12052891 22373630 22863970 24105782 44747260 45727940 48211564 60264455 70878307 120528910 141756614 241057820 283513228 354391535 373639621 708783070 747279242 988120543 1417566140 1494558484 1868198105 1976241086 3736396210 3952482172 4940602715 7472792420 9881205430 19762410860 30631736833 61263473666 122526947332 153158684165 165016130681 306317368330 330032261362 612634736660 660064522724 825080653405 1650161306810 3300322613620 5115500051111 10231000102222 20462000204444 25577500255555 51155000511110 102310001022220