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102222101100220 = 225711271951290533
BaseRepresentation
bin10111001111100001110000…
…000001100011011010111100
3111101221100002222120021122121
4113033201300001203122330
5101344301330340201340
61001224103541052324
730350205646636663
oct2717416001433274
9441840088507577
10102222101100220
112a631171167942
12b56b3b29b70a4
13450666c78897a
141b3580cb1ddda
15bc407117094a
hex5cf8700636bc

102222101100220 has 96 divisors (see below), whose sum is σ = 219517189226496. Its totient is φ = 39974878944000.

The previous prime is 102222101100209. The next prime is 102222101100253. The reversal of 102222101100220 is 22001101222201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102222101100194 and 102222101100203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351698074 + ... + 351988606.

It is an arithmetic number, because the mean of its divisors is an integer number (2286637387776).

Almost surely, 2102222101100220 is an apocalyptic number.

102222101100220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102222101100220 is an abundant number, since it is smaller than the sum of its proper divisors (117295088126276).

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

102222101100220 is a wasteful number, since it uses less digits than its factorization.

102222101100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292691 (or 292689 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102222101100220 its reverse (22001101222201), we get a palindrome (124223202322421).

The spelling of 102222101100220 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred one million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 71 127 142 254 284 355 508 635 710 1270 1420 1951 2540 3902 7804 9017 9755 18034 19510 36068 39020 45085 90170 138521 180340 247777 277042 290533 495554 554084 581066 692605 991108 1162132 1238885 1385210 1452665 2477770 2770420 2905330 4955540 5810660 17592167 20627843 35184334 36897691 41255686 70368668 73795382 82511372 87960835 103139215 147590764 175921670 184488455 206278430 351843340 368976910 412556860 566829883 737953820 1133659766 2267319532 2619736061 2834149415 5239472122 5668298830 10478944244 11336597660 13098680305 26197360610 40244921693 52394721220 71987395141 80489843386 143974790282 160979686772 201224608465 287949580564 359936975705 402449216930 719873951410 804898433860 1439747902820 5111105055011 10222210110022 20444420220044 25555525275055 51111050550110 102222101100220