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13102230321220 = 2251773655380557
BaseRepresentation
bin1011111010101001100111…
…0010001011100001000100
31201101120010221212221001211
42332222121302023201010
53204131331430234340
643511025335101204
72521414324113205
oct276523162134104
951346127787054
1013102230321220
1141a1696495177
121577372511804
137406c5584751
143342193775ac
1517ac445cc5ea
hexbea99c8b844

13102230321220 has 96 divisors (see below), whose sum is σ = 29537152672608. Its totient is φ = 4864231636992.

The previous prime is 13102230321161. The next prime is 13102230321319. The reversal of 13102230321220 is 2212303220131.

It can be written as a sum of positive squares in 16 ways, for example, as 1356516772416 + 11745713548804 = 1164696^2 + 3427202^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13102230321191 and 13102230321200.

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, 162605182 + ... + 162685738.

It is an arithmetic number, because the mean of its divisors is an integer number (307678673673).

Almost surely, 213102230321220 is an apocalyptic number.

13102230321220 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 13102230321220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14768576336304).

13102230321220 is an abundant number, since it is smaller than the sum of its proper divisors (16434922351388).

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

13102230321220 is a wasteful number, since it uses less digits than its factorization.

13102230321220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87209 (or 87207 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13102230321220 its reverse (2212303220131), we get a palindrome (15314533541351).

The spelling of 13102230321220 in words is "thirteen trillion, one hundred two billion, two hundred thirty million, three hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 73 85 146 170 292 340 365 730 1241 1460 2482 4964 6205 6553 12410 13106 24820 26212 32765 65530 80557 111401 131060 161114 222802 322228 402785 445604 478369 557005 805570 956738 1114010 1369469 1611140 1913476 2228020 2391845 2738938 4783690 5477876 5880661 6847345 8132273 9567380 11761322 13694690 16264546 23522644 27389380 29403305 32529092 40661365 58806610 81322730 99971237 117613220 162645460 199942474 399884948 499856185 527890021 999712370 1055780042 1999424740 2111560084 2639450105 5278900210 8974130357 10557800420 17948260714 35896521428 38535971533 44870651785 77071943066 89741303570 154143886132 179482607140 192679857665 385359715330 655111516061 770719430660 1310223032122 2620446064244 3275557580305 6551115160610 13102230321220