Search a number
-
+
32121013002 = 23132999714243
BaseRepresentation
bin11101111010100011…
…111100001100001010
310001220120100112020020
4131322203330030022
51011240434404002
622431200441310
72214663051141
oct357243741412
9101816315206
1032121013002
1112693524541
126285319236
13304b92c490
1417aa004758
15c7ee422bc
hex77a8fc30a

32121013002 has 64 divisors (see below), whose sum is σ = 71646180480. Its totient is φ = 9532341504.

The previous prime is 32121012977. The next prime is 32121013007. The reversal of 32121013002 is 20031012123.

It is not an unprimeable number, because it can be changed into a prime (32121013007) by changing a digit.

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, 2248093 + ... + 2262335.

It is an arithmetic number, because the mean of its divisors is an integer number (1119471570).

Almost surely, 232121013002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32121013002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35823090240).

32121013002 is an abundant number, since it is smaller than the sum of its proper divisors (39525167478).

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

32121013002 is a wasteful number, since it uses less digits than its factorization.

32121013002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15287.

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

Adding to 32121013002 its reverse (20031012123), we get a palindrome (52152025125).

The spelling of 32121013002 in words is "thirty-two billion, one hundred twenty-one million, thirteen thousand, two".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 174 377 754 997 1131 1994 2262 2991 5982 12961 14243 25922 28486 28913 38883 42729 57826 77766 85458 86739 173478 185159 370318 375869 413047 555477 751738 826094 1110954 1127607 1239141 2255214 2478282 5369611 10739222 14200271 16108833 28400542 32217666 42600813 85201626 184603523 369207046 411807859 553810569 823615718 1107621138 1235423577 2470847154 5353502167 10707004334 16060506501 32121013002