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1310012332230 = 235731229878737
BaseRepresentation
bin10011000100000010110…
…100011101100011000110
311122020101000022121222210
4103010002310131203012
5132430401124112410
62441451130404250
7163434220045350
oct23040264354306
94566330277883
101310012332230
1146563389a628
12191a80590686
13966c2511b94
14475951dc0d0
1524122e1c220
hex13102d1d8c6

1310012332230 has 128 divisors (see below), whose sum is σ = 3725286727680. Its totient is φ = 288506603520.

The previous prime is 1310012332219. The next prime is 1310012332243. The reversal of 1310012332230 is 322332100131.

It is a super-2 number, since 2×13100123322302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1310012332197 and 1310012332206.

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 63 ways as a sum of consecutive naturals, for example, 1051422 + ... + 1930158.

It is an arithmetic number, because the mean of its divisors is an integer number (29103802560).

Almost surely, 21310012332230 is an apocalyptic number.

1310012332230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310012332230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862643363840).

1310012332230 is an abundant number, since it is smaller than the sum of its proper divisors (2415274395450).

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

1310012332230 is a wasteful number, since it uses less digits than its factorization.

1310012332230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879014.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1310012332230 its reverse (322332100131), we get a palindrome (1632344432361).

The spelling of 1310012332230 in words is "one trillion, three hundred ten billion, twelve million, three hundred thirty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 229 310 434 458 465 651 687 930 1085 1145 1302 1374 1603 2170 2290 3206 3255 3435 4809 6510 6870 7099 8015 9618 14198 16030 21297 24045 35495 42594 48090 49693 70990 99386 106485 149079 212970 248465 298158 496930 745395 878737 1490790 1757474 2636211 4393685 5272422 6151159 8787370 12302318 13181055 18453477 26362110 27240847 30755795 36906954 54481694 61511590 81722541 92267385 136204235 163445082 184534770 190685929 201230773 272408470 381371858 402461546 408612705 572057787 603692319 817225410 953429645 1006153865 1144115574 1207384638 1408615411 1906859290 2012307730 2817230822 2860288935 3018461595 4225846233 5720577870 6036923190 6238153963 7043077055 8451692466 12476307926 14086154110 18714461889 21129231165 31190769815 37428923778 42258462330 43667077741 62381539630 87334155482 93572309445 131001233223 187144618890 218335388705 262002466446 436670777410 655006166115 1310012332230