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103301310131010 = 23252393605379241
BaseRepresentation
bin10111011111001110110101…
…111001010010101101000010
3111112202111201220202101100200
4113133032311321102231002
5102014442040343143020
61003411544452030030
730521162523225645
oct2737166571225502
9445674656671320
10103301310131010
112aa07926566a52
12b70459b902316
13458436c048aa4
141b71b4ac47a5c
15be2186714590
hex5df3b5e52b42

103301310131010 has 96 divisors (see below), whose sum is σ = 268743425369328. Its totient is φ = 27530608035840.

The previous prime is 103301310131009. The next prime is 103301310131029. The reversal of 103301310131010 is 10131013103301.

103301310131010 is a `hidden beast` number, since 1 + 0 + 3 + 30 + 1 + 310 + 1 + 310 + 10 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 17767464231609 + 85533845899401 = 4215147^2 + 9248451^2 .

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 47 ways as a sum of consecutive naturals, for example, 1303594990 + ... + 1303674230.

Almost surely, 2103301310131010 is an apocalyptic number.

103301310131010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103301310131010 is an abundant number, since it is smaller than the sum of its proper divisors (165442115238318).

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

103301310131010 is a wasteful number, since it uses less digits than its factorization.

103301310131010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87700 (or 87697 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 103301310131010 its reverse (10131013103301), we get a palindrome (113432323234311).

The spelling of 103301310131010 in words is "one hundred three trillion, three hundred one billion, three hundred ten million, one hundred thirty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2393 4786 6053 7179 11965 12106 14358 18159 21537 23930 30265 35895 36318 43074 54477 60530 71790 79241 90795 107685 108954 158482 181590 215370 237723 272385 396205 475446 544770 713169 792410 1188615 1426338 2377230 3565845 7131690 14484829 28969658 43454487 72424145 86908974 130363461 144848290 189623713 217272435 260726922 379247426 434544870 479645773 568871139 651817305 948118565 959291546 1137742278 1303634610 1438937319 1706613417 1896237130 2398228865 2844355695 2877874638 3413226834 4316811957 4796457730 5688711390 7194686595 8533067085 8633623914 14389373190 17066134170 21584059785 43168119570 1147792334789 2295584669578 3443377004367 5738961673945 6886754008734 10330131013101 11477923347890 17216885021835 20660262026202 34433770043670 51650655065505 103301310131010