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101330100312210 = 233571116301298999
BaseRepresentation
bin10111000010100011000000…
…101000100101100010010010
3111021210001200220201021101000
4113002203000220211202102
5101240143021134442320
6555302223324322430
730225600230225130
oct2702430050454222
9437701626637330
10101330100312210
112a317943a57450
12b4465516a3416
1344705063280c3
141b0458dc78750
15baac66035c90
hex5c28c0a25892

101330100312210 has 256 divisors, whose sum is σ = 336911477760000. Its totient is φ = 21054243168000.

The previous prime is 101330100312197. The next prime is 101330100312211. The reversal of 101330100312210 is 12213001033101.

101330100312210 is a `hidden beast` number, since 1 + 0 + 1 + 330 + 1 + 0 + 0 + 312 + 21 + 0 = 666.

It is a super-2 number, since 2×1013301003122102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101330100312211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 338748291 + ... + 339047289.

It is an arithmetic number, because the mean of its divisors is an integer number (1316060460000).

Almost surely, 2101330100312210 is an apocalyptic number.

101330100312210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101330100312210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168455738880000).

101330100312210 is an abundant number, since it is smaller than the sum of its proper divisors (235581377447790).

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

101330100312210 is a wasteful number, since it uses less digits than its factorization.

101330100312210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315334 (or 315328 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101330100312210 its reverse (12213001033101), we get a palindrome (113543101345311).

The spelling of 101330100312210 in words is "one hundred one trillion, three hundred thirty billion, one hundred million, three hundred twelve thousand, two hundred ten".