Search a number
-
+
23130420300052 = 221321937431131913
BaseRepresentation
bin1010100001001011110000…
…11111000100100100010100
310000220020122202112111000021
411100211320133010210110
511012432100044100202
6121105545101154524
74605055243363642
oct520457037044424
9100806582474007
1023130420300052
11740861328355a
1227169b6b5ba44
13cba25cab6900
1459d73838a192
152a1a1e2b1a37
hex1509787c4914

23130420300052 has 144 divisors (see below), whose sum is σ = 48487392528960. Its totient is φ = 9611508501504.

The previous prime is 23130420300049. The next prime is 23130420300073. The reversal of 23130420300052 is 25000302403132.

It is a super-2 number, since 2×231304203000522 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 19868848 + ... + 21000760.

Almost surely, 223130420300052 is an apocalyptic number.

It is an amenable number.

23130420300052 is an abundant number, since it is smaller than the sum of its proper divisors (25356972228908).

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

23130420300052 is a wasteful number, since it uses less digits than its factorization.

23130420300052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132042 (or 1132027 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 23130420300052 its reverse (25000302403132), we get a palindrome (48130722703184).

The spelling of 23130420300052 in words is "twenty-three trillion, one hundred thirty billion, four hundred twenty million, three hundred thousand, fifty-two".

Divisors: 1 2 4 13 19 26 37 38 43 52 74 76 86 148 169 172 247 338 481 494 559 676 703 817 962 988 1118 1406 1591 1634 1924 2236 2812 3182 3211 3268 6253 6364 6422 7267 9139 10621 12506 12844 14534 18278 20683 21242 25012 29068 30229 36556 41366 42484 60458 82732 118807 120916 138073 237614 268879 276146 392977 475228 537758 552292 785954 1075516 1131913 1571908 2263826 4527652 5108701 10217402 14714869 20434804 21506347 29429738 41880781 43012694 48672259 58859476 83761562 86025388 97344518 167523124 191293297 194689036 279582511 382586594 544450153 559165022 632739367 765173188 795734839 924772921 1088900306 1118330044 1265478734 1591469678 1800873583 1849545842 2177800612 2530957468 3182939356 3601747166 3634572643 3699091684 7077851989 7203494332 7269145286 8225611771 10344552907 12022047973 14155703978 14538290572 16451223542 20689105814 23411356579 24044095946 28311407956 32902447084 34216598077 41378211628 46822713158 48088191892 68433196154 93645426316 134479187791 136866392308 156286623649 268958375582 304347635527 312573247298 444815775001 537916751164 608695271054 625146494596 889631550002 1217390542108 1779263100004 5782605075013 11565210150026 23130420300052