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332011130100 = 223521327192233
BaseRepresentation
bin1001101010011010110…
…01111100110011110100
31011201222102111220222020
410311031121330303310
520414424322130400
6412305050433140
732662355020266
oct4651531746364
91151872456866
10332011130100
1111889469a121
1254419a327b0
1325401a67100
14120d8701b36
158982b482a0
hex4d4d67ccf4

332011130100 has 216 divisors, whose sum is σ = 1054858859712. Its totient is φ = 80573875200.

The previous prime is 332011130093. The next prime is 332011130131. The reversal of 332011130100 is 1031110233.

It is a super-2 number, since 2×3320111301002 (a number of 24 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 332011130100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3553584 + ... + 3645816.

It is an arithmetic number, because the mean of its divisors is an integer number (4883605832).

Almost surely, 2332011130100 is an apocalyptic number.

332011130100 is a gapful number since it is divisible by the number (30) 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 332011130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527429429856).

332011130100 is an abundant number, since it is smaller than the sum of its proper divisors (722847729612).

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

332011130100 is a wasteful number, since it uses less digits than its factorization.

332011130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92347 (or 92327 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 332011130100 its reverse (1031110233), we get a palindrome (333042240333).

The spelling of 332011130100 in words is "three hundred thirty-two billion, eleven million, one hundred thirty thousand, one hundred".