Search a number
-
+
1000120200102 = 2321713749947809
BaseRepresentation
bin11101000110110111100…
…11110010101110100110
310112121111002121020000200
432203123303302232212
5112341221232400402
62043240542451330
7132153624302442
oct16433363625646
93477432536020
101000120200102
1135616a864021
121419b6293b46
137340716286a
14365983b5822
151b0370ab21c
hexe8dbcf2ba6

1000120200102 has 96 divisors (see below), whose sum is σ = 2315820780000. Its totient is φ = 310842261504.

The previous prime is 1000120200097. The next prime is 1000120200127. The reversal of 1000120200102 is 2010020210001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20895174 + ... + 20942982.

It is an arithmetic number, because the mean of its divisors is an integer number (24123133125).

Almost surely, 21000120200102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000120200102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157910390000).

1000120200102 is an abundant number, since it is smaller than the sum of its proper divisors (1315700579898).

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

1000120200102 is a wasteful number, since it uses less digits than its factorization.

1000120200102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48470 (or 48467 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1000120200102 its reverse (2010020210001), we get a palindrome (3010140410103).

The spelling of 1000120200102 in words is "one trillion, one hundred twenty million, two hundred thousand, one hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 102 137 153 274 306 411 499 822 998 1233 1497 2329 2466 2994 4491 4658 6987 8483 8982 13974 16966 20961 25449 41922 47809 50898 68363 76347 95618 136726 143427 152694 205089 286854 410178 430281 615267 812753 860562 1162171 1230534 1625506 2324342 2438259 3486513 4876518 6549833 6973026 7314777 10459539 13099666 14629554 19649499 20919078 23856691 39298998 47713382 58948497 71570073 111347161 117896994 143140146 214710219 222694322 334041483 405563747 429420438 668082966 811127494 1002124449 1216691241 2004248898 2433382482 3268366667 3650073723 6536733334 7300147446 9805100001 19610200002 29415300003 55562233339 58830600006 111124466678 166686700017 333373400034 500060100051 1000120200102