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10141021020 = 22351329448321
BaseRepresentation
bin10010111000111001…
…11011001101011100
3222011202010020121010
421130130323031130
5131232100133040
64354141135220
7506206153644
oct113434731534
928152106533
1010141021020
114334384209
121b7025a510
13c57c94470
146c2b91524
153e5466e80
hex25c73b35c

10141021020 has 96 divisors (see below), whose sum is σ = 31633600320. Its totient is φ = 2410168320.

The previous prime is 10141021003. The next prime is 10141021027. The reversal of 10141021020 is 2012014101.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 10141020987 and 10141021005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10141021027) 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 31 ways as a sum of consecutive naturals, for example, 201541 + ... + 246780.

It is an arithmetic number, because the mean of its divisors is an integer number (329516670).

Almost surely, 210141021020 is an apocalyptic number.

10141021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10141021020 is an abundant number, since it is smaller than the sum of its proper divisors (21492579300).

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

10141021020 is a wasteful number, since it uses less digits than its factorization.

10141021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448375 (or 448373 counting only the distinct ones).

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

Adding to 10141021020 its reverse (2012014101), we get a palindrome (12153035121).

The spelling of 10141021020 in words is "ten billion, one hundred forty-one million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 29 30 39 52 58 60 65 78 87 116 130 145 156 174 195 260 290 348 377 390 435 580 754 780 870 1131 1508 1740 1885 2262 3770 4524 5655 7540 11310 22620 448321 896642 1344963 1793284 2241605 2689926 4483210 5379852 5828173 6724815 8966420 11656346 13001309 13449630 17484519 23312692 26002618 26899260 29140865 34969038 39003927 52005236 58281730 65006545 69938076 78007854 87422595 116563460 130013090 156015708 169017017 174845190 195019635 260026180 338034034 349690380 390039270 507051051 676068068 780078540 845085085 1014102102 1690170170 2028204204 2535255255 3380340340 5070510510 10141021020