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131022210030 = 23531327295113
BaseRepresentation
bin111101000000110001…
…0000100001111101110
3110112012011101220011120
41322001202010033232
54121313141210110
6140105112401410
712315565260345
oct1720142041756
9415164356146
10131022210030
1150625692708
12214870a6266
13c4808ba03a
1464ad158b5c
15361c980870
hex1e818843ee

131022210030 has 64 divisors (see below), whose sum is σ = 315635261760. Its totient is φ = 34808057856.

The previous prime is 131022210023. The next prime is 131022210061. The reversal of 131022210030 is 30012220131.

It is a super-2 number, since 2×1310222100302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 131022209991 and 131022210009.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 25622754 + ... + 25627866.

It is an arithmetic number, because the mean of its divisors is an integer number (4931800965).

Almost surely, 2131022210030 is an apocalyptic number.

131022210030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131022210030 is an abundant number, since it is smaller than the sum of its proper divisors (184613051730).

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

131022210030 is a wasteful number, since it uses less digits than its factorization.

131022210030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8165.

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

Adding to 131022210030 its reverse (30012220131), we get a palindrome (161034430161).

The spelling of 131022210030 in words is "one hundred thirty-one billion, twenty-two million, two hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 313 626 939 1565 1878 2729 3130 4695 5113 5458 8187 9390 10226 13645 15339 16374 25565 27290 30678 40935 51130 76695 81870 153390 854177 1600369 1708354 2562531 3200738 4270885 4801107 5125062 8001845 8541770 9602214 12812655 13953377 16003690 24005535 25625310 27906754 41860131 48011070 69766885 83720262 139533770 209300655 418601310 4367407001 8734814002 13102221003 21837035005 26204442006 43674070010 65511105015 131022210030