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131001102300 = 223522318985667
BaseRepresentation
bin111101000000001000…
…1100010111111011100
3110112010200200111210210
41322000101202333130
54121242240233200
6140103040132420
712315220665645
oct1720021427734
9415120614723
10131001102300
1150614786102
1221480007110
13c479409663
1464aa4226cc
15361abb1650
hex1e80462fdc

131001102300 has 72 divisors (see below), whose sum is σ = 395509435776. Its totient is φ = 33414772160.

The previous prime is 131001102289. The next prime is 131001102301. The reversal of 131001102300 is 3201100131.

It is a super-2 number, since 2×1310011023002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131001102301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9485934 + ... + 9499733.

It is an arithmetic number, because the mean of its divisors is an integer number (5493186608).

Almost surely, 2131001102300 is an apocalyptic number.

131001102300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131001102300 is an abundant number, since it is smaller than the sum of its proper divisors (264508333476).

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

131001102300 is a wasteful number, since it uses less digits than its factorization.

131001102300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18985707 (or 18985700 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 131001102300 its reverse (3201100131), we get a palindrome (134202202431).

The spelling of 131001102300 in words is "one hundred thirty-one billion, one million, one hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 18985667 37971334 56957001 75942668 94928335 113914002 189856670 227828004 284785005 379713340 436670341 474641675 569570010 873340682 949283350 1139140020 1310011023 1423925025 1746681364 1898566700 2183351705 2620022046 2847850050 4366703410 5240044092 5695700100 6550055115 8733406820 10916758525 13100110230 21833517050 26200220460 32750275575 43667034100 65500551150 131001102300