Search a number
-
+
10023555412200 = 233521117293080569
BaseRepresentation
bin1001000111011100101001…
…1101011011000011101000
31022111020112210220011201110
42101313022131123003220
52303211220141142300
633152431403150320
72053115022136401
oct221671235330350
938436483804643
1010023555412200
113214a69797930
12115a7705153a0
135792a9301455
142691dd6b89a8
15125b07db4550
hex91dca75b0e8

10023555412200 has 384 divisors, whose sum is σ = 37129494096000. Its totient is φ = 2208151142400.

The previous prime is 10023555412099. The next prime is 10023555412249. The reversal of 10023555412200 is 221455532001.

10023555412200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1713516 + ... + 4794084.

It is an arithmetic number, because the mean of its divisors is an integer number (96691390875).

Almost surely, 210023555412200 is an apocalyptic number.

10023555412200 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 10023555412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18564747048000).

10023555412200 is an abundant number, since it is smaller than the sum of its proper divisors (27105938683800).

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

10023555412200 is a wasteful number, since it uses less digits than its factorization.

10023555412200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3080645 (or 3080636 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 10023555412200 in words is "ten trillion, twenty-three billion, five hundred fifty-five million, four hundred twelve thousand, two hundred".