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203134419384 = 23313977339157
BaseRepresentation
bin1011110100101111000…
…0010100000110111000
3201102022210020200120020
42331023300110012320
511312004402410014
6233152455330440
720450601034641
oct2751360240670
9642283220506
10203134419384
11791700a1946
1233451380a20
13162038088c0
149b904b86c8
15543d71b1a9
hex2f4bc141b8

203134419384 has 128 divisors (see below), whose sum is σ = 553352735040. Its totient is φ = 61767401472.

The previous prime is 203134419373. The next prime is 203134419401. The reversal of 203134419384 is 483914431302.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22178934 + ... + 22188090.

Almost surely, 2203134419384 is an apocalyptic number.

203134419384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203134419384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276676367520).

203134419384 is an abundant number, since it is smaller than the sum of its proper divisors (350218315656).

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

203134419384 is a wasteful number, since it uses less digits than its factorization.

203134419384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10009 (or 10005 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 203134419384 in words is "two hundred three billion, one hundred thirty-four million, four hundred nineteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 97 104 156 194 291 312 388 582 733 776 1164 1261 1466 2199 2328 2522 2932 3783 4398 5044 5864 7566 8796 9157 9529 10088 15132 17592 18314 19058 27471 28587 30264 36628 38116 54942 57174 71101 73256 76232 109884 114348 119041 142202 213303 219768 228696 238082 284404 357123 426606 476164 568808 714246 853212 888229 924313 952328 1428492 1706424 1776458 1848626 2664687 2772939 2856984 3552916 3697252 5329374 5545878 6712081 7105832 7394504 10658748 11091756 11546977 13424162 20136243 21317496 22183512 23093954 26848324 34640931 40272486 46187908 53696648 69281862 80544972 87257053 92375816 138563724 161089944 174514106 261771159 277127448 349028212 523542318 651071857 698056424 1047084636 1302143714 1953215571 2094169272 2604287428 3906431142 5208574856 7812862284 8463934141 15625724568 16927868282 25391802423 33855736564 50783604846 67711473128 101567209692 203134419384