Search a number
-
+
102031203120 = 243571153104173
BaseRepresentation
bin101111100000110001…
…0001001101100110000
3100202100201201011002220
41133001202021230300
53132424441444440
6114512242441040
710241266626330
oct1370142115460
9322321634086
10102031203120
113a2a8a55070
1217936063180
139810590592
144d1cb1d0c0
1529c27128d0
hex17c1889b30

102031203120 has 320 divisors, whose sum is σ = 401788283904. Its totient is φ = 20801064960.

The previous prime is 102031203119. The next prime is 102031203167. The reversal of 102031203120 is 21302130201.

It is a super-2 number, since 2×1020312031202 (a number of 23 digits) contains 22 as substring.

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 102031203120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 927354 + ... + 1031526.

Almost surely, 2102031203120 is an apocalyptic number.

102031203120 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 102031203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200894141952).

102031203120 is an abundant number, since it is smaller than the sum of its proper divisors (299757080784).

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

102031203120 is a wasteful number, since it uses less digits than its factorization.

102031203120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104260 (or 104254 counting only the distinct ones).

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

Adding to 102031203120 its reverse (21302130201), we get a palindrome (123333333321).

The spelling of 102031203120 in words is "one hundred two billion, thirty-one million, two hundred three thousand, one hundred twenty".