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10212001020 = 22335131454701
BaseRepresentation
bin10011000001010111…
…01100010011111100
3222100200200101212000
421200223230103330
5131403233013040
64405154342300
7511030401504
oct114053542374
928320611760
1010212001020
114370454571
121b8bb8a990
13c698b7070
146cc38aa04
153eb7d8130
hex260aec4fc

10212001020 has 96 divisors (see below), whose sum is σ = 34214591040. Its totient is φ = 2513721600.

The previous prime is 10212000983. The next prime is 10212001049. The reversal of 10212001020 is 2010021201.

10212001020 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 (9).

It is a junction number, because it is equal to n+sod(n) for n = 10212000993 and 10212001011.

It is a congruent number.

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, 720331 + ... + 734370.

It is an arithmetic number, because the mean of its divisors is an integer number (356401990).

Almost surely, 210212001020 is an apocalyptic number.

10212001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212001020 is an abundant number, since it is smaller than the sum of its proper divisors (24002590020).

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

10212001020 is a wasteful number, since it uses less digits than its factorization.

10212001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454732 (or 1454724 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10212001020 its reverse (2010021201), we get a palindrome (12222022221).

The spelling of 10212001020 in words is "ten billion, two hundred twelve million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 1454701 2909402 4364103 5818804 7273505 8728206 13092309 14547010 17456412 18911113 21820515 26184618 29094020 37822226 39276927 43641030 52369236 56733339 65461545 75644452 78553854 87282060 94555565 113466678 130923090 157107708 170200017 189111130 196384635 226933356 261846180 283666695 340400034 378222260 392769270 510600051 567333390 680800068 785538540 851000085 1021200102 1134666780 1702000170 2042400204 2553000255 3404000340 5106000510 10212001020