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102212102211220 = 225172728131101941
BaseRepresentation
bin10111001111011000011100…
…000010110100011010010100
3111101220101022010220002112101
4113033120130002310122110
5101344120341131224340
61001215331434131444
730346403114533051
oct2717303402643224
9441811263802471
10102212102211220
112a627a00041611
12b569482280b84
13450573809a0c1
141b35140baa028
15bc3b88431c9a
hex5cf61c0b4694

102212102211220 has 48 divisors (see below), whose sum is σ = 227272654819728. Its totient is φ = 38479674275840.

The previous prime is 102212102211179. The next prime is 102212102211319. The reversal of 102212102211220 is 22112201212201.

It can be written as a sum of positive squares in 8 ways, for example, as 8092534288644 + 94119567922576 = 2844738^2 + 9701524^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92205450 + ... + 93307390.

It is an arithmetic number, because the mean of its divisors is an integer number (4734846975411).

Almost surely, 2102212102211220 is an apocalyptic number.

102212102211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212102211220 is an abundant number, since it is smaller than the sum of its proper divisors (125060552608508).

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

102212102211220 is a wasteful number, since it uses less digits than its factorization.

102212102211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374780 (or 1374778 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 102212102211220 its reverse (22112201212201), we get a palindrome (124324303423421).

The spelling of 102212102211220 in words is "one hundred two trillion, two hundred twelve billion, one hundred two million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 272813 545626 1091252 1101941 1364065 2203882 2728130 4407764 4637821 5456260 5509705 9275642 11019410 18551284 18732997 22038820 23189105 37465994 46378210 74931988 92756420 93664985 187329970 374659940 300623830033 601247660066 1202495320132 1503119150165 3006238300330 5110605110561 6012476600660 10221210221122 20442420442244 25553025552805 51106051105610 102212102211220