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10020001233120 = 253553393867973
BaseRepresentation
bin1001000111001111011010…
…0111010011100011100000
31022110220101010002011121020
42101303312213103203200
52303131430303424440
633151043000525440
72052630654125304
oct221636647234340
938426333064536
1010020001233120
11321350552554a
121159b3a180880
13578b60b754c8
14268d83655d04
1512599ad543d0
hex91cf69d38e0

10020001233120 has 96 divisors (see below), whose sum is σ = 32158532341152. Its totient is φ = 2621585221632.

The previous prime is 10020001233119. The next prime is 10020001233127. The reversal of 10020001233120 is 2133210002001.

10020001233120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10020001233120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020001233127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196908547 + ... + 196959426.

It is an arithmetic number, because the mean of its divisors is an integer number (334984711887).

Almost surely, 210020001233120 is an apocalyptic number.

10020001233120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020001233120 is an abundant number, since it is smaller than the sum of its proper divisors (22138531108032).

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

10020001233120 is a wasteful number, since it uses less digits than its factorization.

10020001233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393868044 (or 393868036 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10020001233120 its reverse (2133210002001), we get a palindrome (12153211235121).

The spelling of 10020001233120 in words is "ten trillion, twenty billion, one million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 80 96 106 120 159 160 212 240 265 318 424 480 530 636 795 848 1060 1272 1590 1696 2120 2544 3180 4240 5088 6360 8480 12720 25440 393867973 787735946 1181603919 1575471892 1969339865 2363207838 3150943784 3938679730 4726415676 5908019595 6301887568 7877359460 9452831352 11816039190 12603775136 15754718920 18905662704 20875002569 23632078380 31509437840 37811325408 41750005138 47264156760 62625007707 63018875680 83500010276 94528313520 104375012845 125250015414 167000020552 189056627040 208750025690 250500030828 313125038535 334000041104 417500051380 501000061656 626250077070 668000082208 835000102760 1002000123312 1252500154140 1670000205520 2004000246624 2505000308280 3340000411040 5010000616560 10020001233120