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130013022211002 = 236721819840181
BaseRepresentation
bin11101100011111100000100…
…000000010100101110111010
3122001100010100001121011000000
4131203330010000110232322
5114020113132141223002
61140303054033053430
736246062614524300
oct3543740400245672
9561303301534000
10130013022211002
1138476238673087
12126b948a0b7276
135771238432798
14241694186a270
151006e0c93661c
hex763f04014bba

130013022211002 has 84 divisors (see below), whose sum is σ = 340133589536346. Its totient is φ = 37146577754160.

The previous prime is 130013022210983. The next prime is 130013022211019. The reversal of 130013022211002 is 200112220310031.

130013022211002 is a `hidden beast` number, since 1 + 300 + 1 + 30 + 222 + 110 + 0 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 128257187854761 + 1755834356241 = 11325069^2 + 1325079^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 909848649 + ... + 909991532.

Almost surely, 2130013022211002 is an apocalyptic number.

130013022211002 is an abundant number, since it is smaller than the sum of its proper divisors (210120567325344).

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

130013022211002 is an equidigital number, since it uses as much as digits as its factorization.

130013022211002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819840215 (or 1819840193 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 130013022211002 its reverse (200112220310031), we get a palindrome (330125242521033).

The spelling of 130013022211002 in words is "one hundred thirty trillion, thirteen billion, twenty-two million, two hundred eleven thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 378 441 486 567 729 882 1134 1323 1458 1701 2646 3402 3969 5103 7938 10206 11907 23814 35721 71442 1819840181 3639680362 5459520543 10919041086 12738881267 16378561629 25477762534 32757123258 38216643801 49135684887 76433287602 89172168869 98271369774 114649931403 147407054661 178344337738 229299862806 267516506607 294814109322 343949794209 442221163983 535033013214 687899588418 802549519821 884442327966 1031849382627 1326663491949 1605099039642 2063698765254 2407648559463 2653326983898 3095548147881 4815297118926 6191096295762 7222945678389 9286644443643 14445891356778 18573288887286 21668837035167 43337674070334 65006511105501 130013022211002