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10332220010100 = 22352414727165951
BaseRepresentation
bin1001011001011010100001…
…0011011010111001110100
31100120202021011210101021220
42112112220103122321310
52323240341310310400
633550320100510340
72114323021005312
oct226265023327164
940522234711256
1010332220010100
11332396292083a
1211aa5536ab3b0
1359c42a268761
1427a1214850b2
1512db7109b7a0
hex965a84dae74

10332220010100 has 288 divisors, whose sum is σ = 31391142838272. Its totient is φ = 2621116800000.

The previous prime is 10332220010023. The next prime is 10332220010113. The reversal of 10332220010100 is 101002223301.

10332220010100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103322200101002 (a number of 27 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 10332220010100.

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, 156632125 + ... + 156698075.

It is an arithmetic number, because the mean of its divisors is an integer number (108997023744).

Almost surely, 210332220010100 is an apocalyptic number.

10332220010100 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 10332220010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15695571419136).

10332220010100 is an abundant number, since it is smaller than the sum of its proper divisors (21058922828172).

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

10332220010100 is a wasteful number, since it uses less digits than its factorization.

10332220010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66327 (or 66320 counting only the distinct ones).

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

Adding to 10332220010100 its reverse (101002223301), we get a palindrome (10433222233401).

The spelling of 10332220010100 in words is "ten trillion, three hundred thirty-two billion, two hundred twenty million, ten thousand, one hundred".