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1310123030220 = 2232533150943201
BaseRepresentation
bin10011000100001001011…
…010101111011011001100
311122020122201121200002100
4103010021122233123030
5132431112443431340
62441510123155100
7163440033005124
oct23041132573314
94566581550070
101310123030220
11465690328674
12191ab1675a90
139670c42cb54
14475a5bb5c84
152412c9d6830
hex131096af6cc

1310123030220 has 144 divisors (see below), whose sum is σ = 3993969601440. Its totient is φ = 347618304000.

The previous prime is 1310123030201. The next prime is 1310123030273. The reversal of 1310123030220 is 220303210131.

1310123030220 is a `hidden beast` number, since 1 + 310 + 1 + 2 + 30 + 302 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1310123030193 and 1310123030202.

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, 30304620 + ... + 30347820.

It is an arithmetic number, because the mean of its divisors is an integer number (27735900010).

Almost surely, 21310123030220 is an apocalyptic number.

1310123030220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310123030220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996984800720).

1310123030220 is an abundant number, since it is smaller than the sum of its proper divisors (2683846571220).

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

1310123030220 is a wasteful number, since it uses less digits than its factorization.

1310123030220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44056 (or 44051 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1310123030220 its reverse (220303210131), we get a palindrome (1530426240351).

The spelling of 1310123030220 in words is "one trillion, three hundred ten billion, one hundred twenty-three million, thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 331 509 662 993 1018 1324 1527 1655 1986 2036 2545 2979 3054 3310 3972 4581 4965 5090 5958 6108 6620 7635 9162 9930 10180 11916 14895 15270 18324 19860 22905 29790 30540 43201 45810 59580 86402 91620 129603 168479 172804 216005 259206 336958 388809 432010 505437 518412 648015 673916 777618 842395 864020 1010874 1296030 1516311 1555236 1684790 1944045 2021748 2527185 2592060 3032622 3369580 3888090 5054370 6065244 7581555 7776180 10108740 14299531 15163110 21989309 28599062 30326220 42898593 43978618 57198124 65967927 71497655 85797186 87957236 109946545 128695779 131935854 142995310 171594372 197903781 214492965 219893090 257391558 263871708 285990620 329839635 395807562 428985930 439786180 514783116 643478895 659679270 791615124 857971860 989518905 1286957790 1319358540 1979037810 2573915580 3958075620 7278461279 14556922558 21835383837 29113845116 36392306395 43670767674 65506151511 72784612790 87341535348 109176919185 131012303022 145569225580 218353838370 262024606044 327530757555 436707676740 655061515110 1310123030220