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10001401104 = 2431735934141
BaseRepresentation
bin10010101000010000…
…10100010100010000
3221211000101211002010
421110020110110100
5130440324313404
64332232422520
7502562335542
oct112410242420
927730354063
1010001401104
114272591752
121b31547a40
13c3508b126
146ac409692
153d8088189
hex254214510

10001401104 has 80 divisors (see below), whose sum is σ = 27433779840. Its totient is φ = 3128862720.

The previous prime is 10001400991. The next prime is 10001401139. The reversal of 10001401104 is 40110410001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 10001401104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275874 + ... + 310014.

It is an arithmetic number, because the mean of its divisors is an integer number (342922248).

Almost surely, 210001401104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001401104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13716889920).

10001401104 is an abundant number, since it is smaller than the sum of its proper divisors (17432378736).

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

10001401104 is a wasteful number, since it uses less digits than its factorization.

10001401104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34528 (or 34522 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10001401104 its reverse (40110410001), we get a palindrome (50111811105).

It can be divided in two parts, 10001 and 401104, that multiplied together give a palindrome (4011441104).

The spelling of 10001401104 in words is "ten billion, one million, four hundred one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 359 408 718 816 1077 1436 2154 2872 4308 5744 6103 8616 12206 17232 18309 24412 34141 36618 48824 68282 73236 97648 102423 136564 146472 204846 273128 292944 409692 546256 580397 819384 1160794 1638768 1741191 2321588 3482382 4643176 6964764 9286352 12256619 13929528 24513238 27859056 36769857 49026476 73539714 98052952 147079428 196105904 208362523 294158856 416725046 588317712 625087569 833450092 1250175138 1666900184 2500350276 3333800368 5000700552 10001401104