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130314124421430 = 235149191152633759
BaseRepresentation
bin11101101000010100011111…
…000110000110100100110110
3122002101220112101112021012120
4131220110133012012210312
5114040031311322441210
61141053252102300410
736306612325220265
oct3550243706064466
9562356471467176
10130314124421430
1138581a00a54394
1212747900727706
1357937527071c1
1424273471245dc
15100eb81c66270
hex76851f186936

130314124421430 has 64 divisors (see below), whose sum is σ = 316501364736000. Its totient is φ = 34336490199680.

The previous prime is 130314124421413. The next prime is 130314124421471. The reversal of 130314124421430 is 34124421413031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 130314124421391 and 130314124421400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75463110 + ... + 77170649.

It is an arithmetic number, because the mean of its divisors is an integer number (4945333824000).

Almost surely, 2130314124421430 is an apocalyptic number.

130314124421430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130314124421430 is an abundant number, since it is smaller than the sum of its proper divisors (186187240314570).

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

130314124421430 is a wasteful number, since it uses less digits than its factorization.

130314124421430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152634109.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 130314124421430 its reverse (34124421413031), we get a palindrome (164438545834461).

The spelling of 130314124421430 in words is "one hundred thirty trillion, three hundred fourteen billion, one hundred twenty-four million, four hundred twenty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 149 191 298 382 447 573 745 894 955 1146 1490 1910 2235 2865 4470 5730 28459 56918 85377 142295 170754 284590 426885 853770 152633759 305267518 457901277 763168795 915802554 1526337590 2289506385 4579012770 22742430091 29153047969 45484860182 58306095938 68227290273 87459143907 113712150455 136454580546 145765239845 174918287814 227424300910 291530479690 341136451365 437295719535 682272902730 874591439070 4343804147381 8687608294762 13031412442143 21719020736905 26062824884286 43438041473810 65157062210715 130314124421430