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10232404020 = 22325193780863
BaseRepresentation
bin10011000011110011…
…00001100000110100
3222102010001222111200
421201321201200310
5131423443412040
64411203532500
7511365666456
oct114171414064
928363058450
1010232404020
114380a1a653
121b9698a130
13c70baba47
146d0d7c2d6
153ed4b8630
hex261e61834

10232404020 has 144 divisors (see below), whose sum is σ = 33555325440. Its totient is φ = 2515131648.

The previous prime is 10232403943. The next prime is 10232404027. The reversal of 10232404020 is 2040423201.

10232404020 is a `hidden beast` number, since 1 + 0 + 23 + 240 + 402 + 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 = 10232403984 and 10232404002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10232404027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86109 + ... + 166971.

Almost surely, 210232404020 is an apocalyptic number.

10232404020 is a gapful number since it is divisible by the number (10) 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 10232404020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16777662720).

10232404020 is an abundant number, since it is smaller than the sum of its proper divisors (23322921420).

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

10232404020 is a wasteful number, since it uses less digits than its factorization.

10232404020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80934 (or 80929 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10232404020 its reverse (2040423201), we get a palindrome (12272827221).

The spelling of 10232404020 in words is "ten billion, two hundred thirty-two million, four hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 37 38 45 57 60 74 76 90 95 111 114 148 171 180 185 190 222 228 285 333 342 370 380 444 555 570 666 684 703 740 855 1110 1140 1332 1406 1665 1710 2109 2220 2812 3330 3420 3515 4218 6327 6660 7030 8436 10545 12654 14060 21090 25308 31635 42180 63270 80863 126540 161726 242589 323452 404315 485178 727767 808630 970356 1212945 1455534 1536397 1617260 2425890 2911068 2991931 3072794 3638835 4609191 4851780 5983862 6145588 7277670 7681985 8975793 9218382 11967724 13827573 14555340 14959655 15363970 17951586 18436764 23045955 26927379 27655146 29919310 30727940 35903172 44878965 46091910 53854758 55310292 56846689 59838620 69137865 89757930 92183820 107709516 113693378 134636895 138275730 170540067 179515860 227386756 269273790 276551460 284233445 341080134 511620201 538547580 568466890 682160268 852700335 1023240402 1136933780 1705400670 2046480804 2558101005 3410801340 5116202010 10232404020