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32121133020 = 223251012337583
BaseRepresentation
bin11101111010100100…
…011001011111011100
310001220120120121212100
4131322210121133130
51011241002224040
622431203205100
72214664061064
oct357244313734
9101816517770
1032121133020
11126935a6729
126285376790
13304b971cb2
1417aa0363a4
15c7ee67b30
hex77a9197dc

32121133020 has 144 divisors (see below), whose sum is σ = 98834141952. Its totient is φ = 8443315200.

The previous prime is 32121133019. The next prime is 32121133063. The reversal of 32121133020 is 2033112123.

32121133020 is a `hidden beast` number, since 321 + 2 + 11 + 330 + 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 = 32121132984 and 32121133002.

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, 4232149 + ... + 4239731.

It is an arithmetic number, because the mean of its divisors is an integer number (686348208).

Almost surely, 232121133020 is an apocalyptic number.

32121133020 is a gapful number since it is divisible by the number (30) 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 32121133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49417070976).

32121133020 is an abundant number, since it is smaller than the sum of its proper divisors (66713008932).

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

32121133020 is a wasteful number, since it uses less digits than its factorization.

32121133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7932 (or 7927 counting only the distinct ones).

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

Adding to 32121133020 its reverse (2033112123), we get a palindrome (34154245143).

The spelling of 32121133020 in words is "thirty-two billion, one hundred twenty-one million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 233 303 404 466 505 606 699 909 932 1010 1165 1212 1398 1515 1818 2020 2097 2330 2796 3030 3495 3636 4194 4545 4660 6060 6990 7583 8388 9090 10485 13980 15166 18180 20970 22749 23533 30332 37915 41940 45498 47066 68247 70599 75830 90996 94132 113745 117665 136494 141198 151660 211797 227490 235330 272988 282396 341235 352995 423594 454980 470660 682470 705990 765883 847188 1058985 1364940 1411980 1531766 1766839 2117970 2297649 3063532 3533678 3829415 4235940 4595298 5300517 6892947 7067356 7658830 8834195 9190596 10601034 11488245 13785894 15317660 15901551 17668390 21202068 22976490 26502585 27571788 31803102 34464735 35336780 45952980 53005170 63606204 68929470 79507755 106010340 137858940 159015510 178450739 318031020 356901478 535352217 713802956 892253695 1070704434 1606056651 1784507390 2141408868 2676761085 3212113302 3569014780 5353522170 6424226604 8030283255 10707044340 16060566510 32121133020