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32002110020 = 22517199751071
BaseRepresentation
bin11101110011011110…
…010111001001000100
310001121021121122000002
4131303132113021010
51011020020010040
622411312140432
72212020306206
oct356336271104
9101537548002
1032002110020
11126323a1a11
126251537718
1330300ca99a
1417982d2776
15c747a6a15
hex773797244

32002110020 has 96 divisors (see below), whose sum is σ = 75676446720. Its totient is φ = 11295866880.

The previous prime is 32002110017. The next prime is 32002110059. The reversal of 32002110020 is 2001120023.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 32002109983 and 32002110010.

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 31 ways as a sum of consecutive naturals, for example, 601085 + ... + 652155.

It is an arithmetic number, because the mean of its divisors is an integer number (788296320).

Almost surely, 232002110020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32002110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37838223360).

32002110020 is an abundant number, since it is smaller than the sum of its proper divisors (43674336700).

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

32002110020 is a wasteful number, since it uses less digits than its factorization.

32002110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51213 (or 51211 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 32002110020 its reverse (2001120023), we get a palindrome (34003230043).

The spelling of 32002110020 in words is "thirty-two billion, two million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 97 170 190 194 323 340 380 388 485 646 970 1292 1615 1649 1843 1940 3230 3298 3686 6460 6596 7372 8245 9215 16490 18430 31331 32980 36860 51071 62662 102142 125324 156655 204284 255355 313310 510710 626620 868207 970349 1021420 1736414 1940698 3472828 3881396 4341035 4851745 4953887 8682070 9703490 9907774 16495933 17364140 19406980 19815548 24769435 32991866 49538870 65983732 82479665 84216079 94123853 99077740 164959330 168432158 188247706 329918660 336864316 376495412 421080395 470619265 842160790 941238530 1600105501 1684321580 1882477060 3200211002 6400422004 8000527505 16001055010 32002110020