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10141212420 = 2233529647587
BaseRepresentation
bin10010111000111011…
…01001111100000100
3222011202110222011000
421130131221330010
5131232122244140
64354145213300
7506210611653
oct113435517404
928152428130
1010141212420
1143344a4a99
121b70331230
13c58030611
146c2c0119a
153e54a3a30
hex25c769f04

10141212420 has 96 divisors (see below), whose sum is σ = 32638435200. Its totient is φ = 2611066752.

The previous prime is 10141212413. The next prime is 10141212439. The reversal of 10141212420 is 2421214101.

10141212420 is a `hidden beast` number, since 10 + 1 + 412 + 1 + 242 + 0 = 666.

10141212420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10141212393 and 10141212402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308134 + ... + 339453.

It is an arithmetic number, because the mean of its divisors is an integer number (339983700).

Almost surely, 210141212420 is an apocalyptic number.

10141212420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10141212420 is an abundant number, since it is smaller than the sum of its proper divisors (22497222780).

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

10141212420 is a wasteful number, since it uses less digits than its factorization.

10141212420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647634 (or 647626 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10141212420 its reverse (2421214101), we get a palindrome (12562426521).

The spelling of 10141212420 in words is "ten billion, one hundred forty-one million, two hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 435 522 540 580 783 870 1044 1305 1566 1740 2610 3132 3915 5220 7830 15660 647587 1295174 1942761 2590348 3237935 3885522 5828283 6475870 7771044 9713805 11656566 12951740 17484849 18780023 19427610 23313132 29141415 34969698 37560046 38855220 56340069 58282830 69939396 75120092 87424245 93900115 112680138 116565660 169020207 174848490 187800230 225360276 281700345 338040414 349696980 375600460 507060621 563400690 676080828 845101035 1014121242 1126801380 1690202070 2028242484 2535303105 3380404140 5070606210 10141212420