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10241202420 = 22325213126699
BaseRepresentation
bin10011000100110110…
…00101100011110100
3222102201121222122100
421202123011203310
5131433221434140
64412120302100
7511533533001
oct114233054364
928381558570
1010241202420
114385989a59
121b99911930
13c7296c6b7
146d21cc8a8
153ee155530
hex2626c58f4

10241202420 has 72 divisors (see below), whose sum is σ = 31080722400. Its totient is φ = 2729603520.

The previous prime is 10241202397. The next prime is 10241202431. The reversal of 10241202420 is 2420214201.

10241202420 is a `hidden beast` number, since 1 + 0 + 2 + 41 + 202 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10241202393 and 10241202402.

It is a congruent number.

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, 370231 + ... + 396929.

It is an arithmetic number, because the mean of its divisors is an integer number (431676700).

Almost surely, 210241202420 is an apocalyptic number.

10241202420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10241202420 is an abundant number, since it is smaller than the sum of its proper divisors (20839519980).

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

10241202420 is a wasteful number, since it uses less digits than its factorization.

10241202420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28845 (or 28840 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10241202420 its reverse (2420214201), we get a palindrome (12661416621).

The spelling of 10241202420 in words is "ten billion, two hundred forty-one million, two hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2131 4262 6393 8524 10655 12786 19179 21310 25572 26699 31965 38358 42620 53398 63930 76716 80097 95895 106796 127860 133495 160194 191790 240291 266990 320388 383580 400485 480582 533980 800970 961164 1201455 1601940 2402910 4805820 56895569 113791138 170686707 227582276 284477845 341373414 512060121 568955690 682746828 853433535 1024120242 1137911380 1706867070 2048240484 2560300605 3413734140 5120601210 10241202420