Search a number
-
+
102011120100120 = 233572119716259447
BaseRepresentation
bin10111001100011101010000…
…100100111010001100011000
3111101012011112100120222212210
4113030131100210322030120
5101332322233221200440
61000543132302035120
730326026440012300
oct2714352044721430
9441164470528783
10102011120100120
112a55a744965850
12b536531878aa0
1344bc7b84652ca
141b295164b6600
15bbd823b61a80
hex5cc75093a318

102011120100120 has 384 divisors, whose sum is σ = 392365194600960. Its totient is φ = 20978587607040.

The previous prime is 102011120100091. The next prime is 102011120100181. The reversal of 102011120100120 is 21001021110201.

It is a super-3 number, since 3×1020111201001203 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102011120100096 and 102011120100105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1855764 + ... + 14403683.

It is an arithmetic number, because the mean of its divisors is an integer number (1021784360940).

Almost surely, 2102011120100120 is an apocalyptic number.

102011120100120 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 102011120100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196182597300480).

102011120100120 is an abundant number, since it is smaller than the sum of its proper divisors (290354074500840).

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

102011120100120 is a wasteful number, since it uses less digits than its factorization.

102011120100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16259583 (or 16259572 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102011120100120 its reverse (21001021110201), we get a palindrome (123012141210321).

The spelling of 102011120100120 in words is "one hundred two trillion, eleven billion, one hundred twenty million, one hundred thousand, one hundred twenty".