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131033001030 = 235172271131839
BaseRepresentation
bin111101000001000101…
…1001110110001000110
3110112012220201010122020
41322002023032301012
54121323422013110
6140110135544010
712316056063111
oct1720213166106
9415186633566
10131033001030
1150630793098
122148a82b006
13c482bc7949
1464b0767578
15361d8b2d70
hex1e822cec46

131033001030 has 64 divisors (see below), whose sum is σ = 334445137920. Its totient is φ = 32741809664.

The previous prime is 131033000981. The next prime is 131033001067. The reversal of 131033001030 is 30100330131.

131033001030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

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, 450150 + ... + 681689.

It is an arithmetic number, because the mean of its divisors is an integer number (5225705280).

Almost surely, 2131033001030 is an apocalyptic number.

131033001030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131033001030 is an abundant number, since it is smaller than the sum of its proper divisors (203412136890).

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

131033001030 is a wasteful number, since it uses less digits than its factorization.

131033001030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132093.

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 131033001030 its reverse (30100330131), we get a palindrome (161133331161).

The spelling of 131033001030 in words is "one hundred thirty-one billion, thirty-three million, one thousand, thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 227 255 454 510 681 1135 1362 2270 3405 3859 6810 7718 11577 19295 23154 38590 57885 115770 1131839 2263678 3395517 5659195 6791034 11318390 16977585 19241263 33955170 38482526 57723789 96206315 115447578 192412630 256927453 288618945 513854906 577237890 770782359 1284637265 1541564718 2569274530 3853911795 4367766701 7707823590 8735533402 13103300103 21838833505 26206600206 43677667010 65516500515 131033001030