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120202002342 = 232371132636073
BaseRepresentation
bin110111111110010011…
…0001111111110100110
3102111021002021101121200
41233330212033332212
53432133203033332
6131115310023330
711453501106342
oct1577446177646
9374232241550
10120202002342
1146a82995504
121b3674a7b46
13b447cc2b96
145b640ca622
1531d7aa817c
hex1bfc98ffa6

120202002342 has 96 divisors (see below), whose sum is σ = 270914200128. Its totient is φ = 38486181888.

The previous prime is 120202002337. The next prime is 120202002343. The reversal of 120202002342 is 243200202021.

120202002342 is a `hidden beast` number, since 120 + 2 + 0 + 200 + 2 + 342 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120202002343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19789818 + ... + 19795890.

It is an arithmetic number, because the mean of its divisors is an integer number (2822022918).

Almost surely, 2120202002342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120202002342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135457100064).

120202002342 is an abundant number, since it is smaller than the sum of its proper divisors (150712197786).

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

120202002342 is a wasteful number, since it uses less digits than its factorization.

120202002342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6494 (or 6491 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 120202002342 its reverse (243200202021), we get a palindrome (363402204363).

The spelling of 120202002342 in words is "one hundred twenty billion, two hundred two million, two thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 113 222 226 263 333 339 526 666 678 789 1017 1578 2034 2367 4181 4734 6073 8362 9731 12146 12543 18219 19462 25086 29193 29719 36438 37629 54657 58386 59438 75258 87579 89157 109314 175158 178314 224701 267471 449402 534942 674103 686249 1099603 1348206 1372498 1597199 2022309 2058747 2199206 3194398 3298809 4044618 4117494 4791597 6176241 6597618 9583194 9896427 12352482 14374791 19792854 25391213 28749582 50782426 59096363 76173639 118192726 152347278 177289089 180483487 228520917 354578178 360966974 457041834 531867267 541450461 1063734534 1082900922 1624351383 3248702766 6677889019 13355778038 20033667057 40067334114 60101001171 120202002342