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203253242130 = 232541919972699
BaseRepresentation
bin1011110101001011010…
…1100101100100010010
3201102122001211111201200
42331102311211210102
511312230312222010
6233212342212030
720453543023641
oct2752265454422
9642561744650
10203253242130
117922117a164
1233485124016
131622230ca13
149ba21a9358
155448d8ccc0
hex2f52d65912

203253242130 has 96 divisors (see below), whose sum is σ = 530181288000. Its totient is φ = 54024406656.

The previous prime is 203253242119. The next prime is 203253242141. The reversal of 203253242130 is 31242352302.

203253242130 is a `hidden beast` number, since 2 + 0 + 325 + 324 + 2 + 13 + 0 = 666.

203253242130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (203253242119) and next prime (203253242141).

It is a junction number, because it is equal to n+sod(n) for n = 203253242094 and 203253242103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75305521 + ... + 75308219.

It is an arithmetic number, because the mean of its divisors is an integer number (5522721750).

Almost surely, 2203253242130 is an apocalyptic number.

203253242130 is an abundant number, since it is smaller than the sum of its proper divisors (326928045870).

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

203253242130 is a wasteful number, since it uses less digits than its factorization.

203253242130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5128 (or 5125 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 203253242130 its reverse (31242352302), we get a palindrome (234495594432).

The spelling of 203253242130 in words is "two hundred three billion, two hundred fifty-three million, two hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 419 838 1257 1997 2095 2514 2699 3771 3994 4190 5398 5991 6285 7542 8097 9985 11982 12570 13495 16194 17973 18855 19970 24291 26990 29955 35946 37710 40485 48582 59910 80970 89865 121455 179730 242910 836743 1130881 1673486 2261762 2510229 3392643 4183715 5020458 5389903 5654405 6785286 7530687 8367430 10177929 10779806 11308810 12551145 15061374 16169709 16963215 20355858 25102290 26949515 32339418 33926430 37653435 48509127 50889645 53899030 75306870 80848545 97018254 101779290 161697090 242545635 485091270 2258369357 4516738714 6775108071 11291846785 13550216142 20325324213 22583693570 33875540355 40650648426 67751080710 101626621065 203253242130