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131352253130 = 25747671793329
BaseRepresentation
bin111101001010100110…
…1000101001011001010
3110120001011102211012002
41322111031011023022
54123002134100010
6140201542351002
712330013505210
oct1722515051312
9416034384162
10131352253130
1150784a169aa
122155972b462
13c5040a6607
146500d0ccb0
15363b9261a5
hex1e953452ca

131352253130 has 128 divisors (see below), whose sum is σ = 281727590400. Its totient is φ = 43163467776.

The previous prime is 131352253069. The next prime is 131352253133. The reversal of 131352253130 is 31352253131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131352253093 and 131352253102.

It is not an unprimeable number, because it can be changed into a prime (131352253133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39455306 + ... + 39458634.

It is an arithmetic number, because the mean of its divisors is an integer number (2200996800).

Almost surely, 2131352253130 is an apocalyptic number.

131352253130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131352253130 is an abundant number, since it is smaller than the sum of its proper divisors (150375337270).

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

131352253130 is a wasteful number, since it uses less digits than its factorization.

131352253130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3636.

The product of its (nonzero) digits is 8100, while the sum is 29.

Subtracting from 131352253130 its reverse (31352253131), we obtain a palindrome (99999999999).

The spelling of 131352253130 in words is "one hundred thirty-one billion, three hundred fifty-two million, two hundred fifty-three thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 35 47 67 70 94 134 179 235 329 335 358 469 470 658 670 895 938 1253 1645 1790 2345 2506 3149 3290 3329 4690 6265 6298 6658 8413 11993 12530 15745 16645 16826 22043 23303 23986 31490 33290 42065 44086 46606 58891 59965 83951 84130 110215 116515 117782 119930 156463 167902 220430 223043 233030 294455 312926 419755 446086 563671 588910 595891 782315 839510 1095241 1115215 1127342 1191782 1561301 1564630 2190482 2230430 2818355 2979455 3122602 3945697 4171237 5476205 5636710 5958910 7806505 7891394 8342474 10483021 10952410 15613010 19728485 20856185 20966042 28006877 39456970 39924697 41712370 52415105 56013754 73381147 79849394 104830210 140034385 146762294 196048139 199623485 279472879 280068770 366905735 392096278 399246970 558945758 733811470 980240695 1397364395 1876460759 1960481390 2794728790 3752921518 9382303795 13135225313 18764607590 26270450626 65676126565 131352253130