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202100130 = 23352953487
BaseRepresentation
bin11000000101111…
…00110110100010
3112002021202021000
430002330312202
5403214201010
632015412430
75002552131
oct1402746642
9462252230
10202100130
11a4097901
1257824116
1332b4119b
141cbab918
1512b217c0
hexc0bcda2

202100130 has 128 divisors (see below), whose sum is σ = 569203200. Its totient is φ = 50948352.

The previous prime is 202100123. The next prime is 202100153. The reversal of 202100130 is 31001202.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 414747 + ... + 415233.

It is an arithmetic number, because the mean of its divisors is an integer number (4446900).

Almost surely, 2202100130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202100130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284601600).

202100130 is an abundant number, since it is smaller than the sum of its proper divisors (367103070).

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

202100130 is a wasteful number, since it uses less digits than its factorization.

202100130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 202100130 is about 14216.1925282405. The cubic root of 202100130 is about 586.8433635428.

Adding to 202100130 its reverse (31001202), we get a palindrome (233101332).

The spelling of 202100130 in words is "two hundred two million, one hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 53 54 58 87 90 106 135 145 159 174 261 265 270 290 318 435 477 487 522 530 783 795 870 954 974 1305 1431 1461 1537 1566 1590 2385 2435 2610 2862 2922 3074 3915 4383 4611 4770 4870 7155 7305 7685 7830 8766 9222 13149 13833 14123 14310 14610 15370 21915 23055 25811 26298 27666 28246 41499 42369 43830 46110 51622 65745 69165 70615 77433 82998 84738 127107 129055 131490 138330 141230 154866 207495 211845 232299 254214 258110 381321 387165 414990 423690 464598 635535 696897 748519 762642 774330 1161495 1271070 1393794 1497038 1906605 2245557 2322990 3484485 3742595 3813210 4491114 6736671 6968970 7485190 11227785 13473342 20210013 22455570 33683355 40420026 67366710 101050065 202100130