Search a number
-
+
10400121420 = 22351321025653
BaseRepresentation
bin10011010111110010…
…10100001001001100
3222211210122220112020
421223321110021030
5132244412341140
64435554410140
7515503400463
oct115371241114
928753586466
1010400121420
114457663177
122022b90950
13c99872100
147093599da
1540d0976d0
hex26be5424c

10400121420 has 72 divisors (see below), whose sum is σ = 31532706576. Its totient is φ = 2560027392.

The previous prime is 10400121401. The next prime is 10400121437. The reversal of 10400121420 is 2412100401.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 10400121420.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 502687 + ... + 522966.

It is an arithmetic number, because the mean of its divisors is an integer number (437954258).

Almost surely, 210400121420 is an apocalyptic number.

10400121420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400121420 is an abundant number, since it is smaller than the sum of its proper divisors (21132585156).

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

10400121420 is a wasteful number, since it uses less digits than its factorization.

10400121420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025691 (or 1025676 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10400121420 its reverse (2412100401), we get a palindrome (12812221821).

The spelling of 10400121420 in words is "ten billion, four hundred million, one hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1690 2028 2535 3380 5070 10140 1025653 2051306 3076959 4102612 5128265 6153918 10256530 12307836 13333489 15384795 20513060 26666978 30769590 40000467 53333956 61539180 66667445 80000934 133334890 160001868 173335357 200002335 266669780 346670714 400004670 520006071 693341428 800009340 866676785 1040012142 1733353570 2080024284 2600030355 3466707140 5200060710 10400121420