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23132013100020 = 223251115667745697
BaseRepresentation
bin1010100001001110101110…
…11011000111101111110100
310000220101202202200002210200
411100213113123013233310
511012443330323200040
6121110411120320500
74605142564065426
oct520472733075764
9100811682602720
1023132013100020
117409260387770
122717180473130
13cba454a9b3b6
1459d849b28816
152a1ab403c630
hex1509d76c7bf4

23132013100020 has 144 divisors (see below), whose sum is σ = 76550922721728. Its totient is φ = 5607395297280.

The previous prime is 23132013099961. The next prime is 23132013100051. The reversal of 23132013100020 is 2000131023132.

23132013100020 is a `hidden beast` number, since 2 + 31 + 320 + 1 + 310 + 0 + 0 + 2 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23132013099966 and 23132013100002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30647812 + ... + 31393508.

It is an arithmetic number, because the mean of its divisors is an integer number (531603630012).

Almost surely, 223132013100020 is an apocalyptic number.

23132013100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23132013100020 is an abundant number, since it is smaller than the sum of its proper divisors (53418909621708).

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

23132013100020 is a wasteful number, since it uses less digits than its factorization.

23132013100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761390 (or 761385 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23132013100020 its reverse (2000131023132), we get a palindrome (25132144123152).

The spelling of 23132013100020 in words is "twenty-three trillion, one hundred thirty-two billion, thirteen million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 15667 31334 47001 62668 78335 94002 141003 156670 172337 188004 235005 282006 313340 344674 470010 517011 564012 689348 705015 745697 861685 940020 1034022 1410030 1491394 1551033 1723370 2068044 2237091 2585055 2820060 2982788 3102066 3446740 3728485 4474182 5170110 6204132 6711273 7456970 7755165 8202667 8948364 10340220 11185455 13422546 14913940 15510330 16405334 22370910 24608001 26845092 31020660 32810668 33556365 41013335 44741820 49216002 67112730 73824003 82026670 98432004 123040005 134225460 147648006 164053340 246080010 295296012 369120015 492160020 738240030 1476480060 11682834899 23365669798 35048504697 46731339596 58414174495 70097009394 105145514091 116828348990 128511183889 140194018788 175242523485 210291028182 233656697980 257022367778 350485046970 385533551667 420582056364 514044735556 525727570455 642555919445 700970093940 771067103334 1051455140910 1156600655001 1285111838890 1542134206668 1927667758335 2102910281820 2313201310002 2570223677780 3855335516670 4626402620004 5783003275005 7710671033340 11566006550010 23132013100020