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131330414210430 = 235311319391070309
BaseRepresentation
bin11101110111000110111110…
…101011111110110101111110
3122020000001202101001201021010
4131313012332223332311332
5114203204142014213210
61143152205343420050
736443211044000451
oct3567067653766576
9566001671051233
10131330414210430
1138933a09054916
1212890869bb4626
1358385357c0136
1424605d6bb5498
15102b313666920
hex7771beafed7e

131330414210430 has 64 divisors (see below), whose sum is σ = 325363280025600. Its totient is φ = 33891431256960.

The previous prime is 131330414210377. The next prime is 131330414210521. The reversal of 131330414210430 is 34012414033131.

It is a super-2 number, since 2×1313304142104302 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122168116 + ... + 123238424.

It is an arithmetic number, because the mean of its divisors is an integer number (5083801250400).

Almost surely, 2131330414210430 is an apocalyptic number.

131330414210430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131330414210430 is an abundant number, since it is smaller than the sum of its proper divisors (194032865815170).

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

131330414210430 is a wasteful number, since it uses less digits than its factorization.

131330414210430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202289.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 131330414210430 its reverse (34012414033131), we get a palindrome (165342828243561).

The spelling of 131330414210430 in words is "one hundred thirty-one trillion, three hundred thirty billion, four hundred fourteen million, two hundred ten thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 131939 263878 395817 659695 791634 1070309 1319390 1979085 2140618 3210927 3958170 4090109 5351545 6421854 8180218 10703090 12270327 16054635 20450545 24540654 32109270 33179579 40901090 61351635 66359158 99538737 122703270 165897895 199077474 331795790 497693685 995387370 141215499151 282430998302 423646497453 706077495755 847292994906 1412154991510 2118232487265 4236464974530 4377680473681 8755360947362 13133041421043 21888402368405 26266082842086 43776804736810 65665207105215 131330414210430