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101122313012010 = 232523113608970999
BaseRepresentation
bin10110111111100001011111…
…100010111100001100101010
3111021001012100212020202020200
4112333201133202330030222
5101223241444112341020
6555022541013333030
730204563120301033
oct2677413742741452
9437035325222220
10101122313012010
112a247806495364
12b412222037176
134456a408787b4
141ad84bb859a8a
15ba56540cd590
hex5bf85f8bc32a

101122313012010 has 192 divisors, whose sum is σ = 276826455360000. Its totient is φ = 25560697688064.

The previous prime is 101122313011883. The next prime is 101122313012023. The reversal of 101122313012010 is 10210313221101.

101122313012010 is a `hidden beast` number, since 1 + 0 + 112 + 231 + 301 + 20 + 1 + 0 = 666.

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

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, 1424242491 + ... + 1424313489.

It is an arithmetic number, because the mean of its divisors is an integer number (1441804455000).

Almost surely, 2101122313012010 is an apocalyptic number.

101122313012010 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 101122313012010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138413227680000).

101122313012010 is an abundant number, since it is smaller than the sum of its proper divisors (175704142347990).

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

101122313012010 is a wasteful number, since it uses less digits than its factorization.

101122313012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77237 (or 77234 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101122313012010 its reverse (10210313221101), we get a palindrome (111332626233111).

The spelling of 101122313012010 in words is "one hundred one trillion, one hundred twenty-two billion, three hundred thirteen million, twelve thousand, ten".