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102212201212220 = 225111307355471243
BaseRepresentation
bin10111001111011000100001…
…111100011110100100111100
3111101220101120001011212101002
4113033120201330132210330
5101344121042002242340
61001215345332105432
730346405426164521
oct2717304174364474
9441811501155332
10102212201212220
112a627a50a10520
12b5694ab465278
134505752750c88
141b3514ddbb148
15bc3b91e8a715
hex5cf621f1e93c

102212201212220 has 48 divisors (see below), whose sum is σ = 234338019124608. Its totient is φ = 37139635364160.

The previous prime is 102212201212213. The next prime is 102212201212223. The reversal of 102212201212220 is 22212102212201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102212201212192 and 102212201212201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212201212223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177448082 + ... + 178023161.

It is an arithmetic number, because the mean of its divisors is an integer number (4882042065096).

Almost surely, 2102212201212220 is an apocalyptic number.

102212201212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212201212220 is an abundant number, since it is smaller than the sum of its proper divisors (132125817912388).

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

102212201212220 is a wasteful number, since it uses less digits than its factorization.

102212201212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355472570 (or 355472568 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 102212201212220 its reverse (22212102212201), we get a palindrome (124424303424421).

The spelling of 102212201212220 in words is "one hundred two trillion, two hundred twelve billion, two hundred one million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1307 2614 5228 6535 13070 14377 26140 28754 57508 71885 143770 287540 355471243 710942486 1421884972 1777356215 3554712430 3910183673 7109424860 7820367346 15640734692 19550918365 39101836730 78203673460 464600914601 929201829202 1858403658404 2323004573005 4646009146010 5110610060611 9292018292020 10221220121222 20442440242444 25553050303055 51106100606110 102212201212220