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10113222310401 = 372347238183269
BaseRepresentation
bin1001001100101010101100…
…0001011111101000000001
31022210210222211222120002010
42103022223001133220001
52311143334402413101
633301541124043133
72062441035165600
oct223125301375001
938723884876063
1010113222310401
113249aa2385681
1211740158334a9
13584899105b72
1426d6a8267a37
15128104d942d6
hex932ab05fa01

10113222310401 has 48 divisors (see below), whose sum is σ = 15737814164160. Its totient is φ = 5759840741760.

The previous prime is 10113222310393. The next prime is 10113222310463. The reversal of 10113222310401 is 10401322231101.

It is not a de Polignac number, because 10113222310401 - 23 = 10113222310393 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (10113222310601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121410795 + ... + 121494063.

It is an arithmetic number, because the mean of its divisors is an integer number (327871128420).

Almost surely, 210113222310401 is an apocalyptic number.

It is an amenable number.

10113222310401 is a deficient number, since it is larger than the sum of its proper divisors (5624591853759).

10113222310401 is a wasteful number, since it uses less digits than its factorization.

10113222310401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86014 (or 86007 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10113222310401 its reverse (10401322231101), we get a palindrome (20514544541502).

The spelling of 10113222310401 in words is "ten trillion, one hundred thirteen billion, two hundred twenty-two million, three hundred ten thousand, four hundred one".

Divisors: 1 3 7 21 49 147 347 1041 2381 2429 7143 7287 16667 17003 50001 51009 83269 116669 249807 350007 582883 826207 1748649 2478621 4080181 5783449 12240543 17350347 28894343 40484143 86683029 121452429 198263489 202260401 594790467 606781203 1387844423 1415822807 4163533269 4247468421 9714910961 29144732883 68797430683 206392292049 481582014781 1444746044343 3371074103467 10113222310401