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42113102301 = 32311391736277
BaseRepresentation
bin100111001110001000…
…101111000111011101
311000200221020020220200
4213032020233013131
51142221423233201
631202501534113
73020413314624
oct471610570735
9130627206820
1042113102301
1116950826086
1281b3714339
133c81aaa05a
1420770a86bb
15116728b386
hex9ce22f1dd

42113102301 has 48 divisors (see below), whose sum is σ = 63619745280. Its totient is φ = 26814084480.

The previous prime is 42113102279. The next prime is 42113102323. The reversal of 42113102301 is 10320131124.

42113102301 is a `hidden beast` number, since 42 + 11 + 310 + 2 + 301 = 666.

It is an interprime number because it is at equal distance from previous prime (42113102279) and next prime (42113102323).

It is not a de Polignac number, because 42113102301 - 225 = 42079547869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42113102351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6705975 + ... + 6712251.

It is an arithmetic number, because the mean of its divisors is an integer number (1325411360).

Almost surely, 242113102301 is an apocalyptic number.

It is an amenable number.

42113102301 is a deficient number, since it is larger than the sum of its proper divisors (21506642979).

42113102301 is a wasteful number, since it uses less digits than its factorization.

42113102301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6626 (or 6623 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 42113102301 its reverse (10320131124), we get a palindrome (52433233425).

The spelling of 42113102301 in words is "forty-two billion, one hundred thirteen million, one hundred two thousand, three hundred one".

Divisors: 1 3 9 31 93 139 173 279 417 519 1251 1557 4309 5363 6277 12927 16089 18831 24047 38781 48267 56493 72141 194587 216423 583761 745457 872503 1085921 1751283 2236371 2617509 3257763 6709113 7852527 9773289 27047593 33663551 81142779 100990653 150943019 243428337 302971959 452829057 1358487171 4679233589 14037700767 42113102301