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10020212012020 = 2257196481581237
BaseRepresentation
bin1001000111010000001100…
…1011010111001111110100
31022110220220210200211220011
42101310003023113033310
52303132343233341040
633151115530350004
72052636123535120
oct221640313271764
938426823624804
1010020212012020
1132136034aa891
121159b9888b304
13578b95734a52
14268da3642580
151259ae5dc3ea
hex91d032d73f4

10020212012020 has 96 divisors (see below), whose sum is σ = 25318169291520. Its totient is φ = 3254177617920.

The previous prime is 10020212011969. The next prime is 10020212012023. The reversal of 10020212012020 is 2021021202001.

It is a happy number.

10020212012020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020212012023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16948842 + ... + 17530078.

It is an arithmetic number, because the mean of its divisors is an integer number (263730930120).

Almost surely, 210020212012020 is an apocalyptic number.

10020212012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020212012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12659084645760).

10020212012020 is an abundant number, since it is smaller than the sum of its proper divisors (15297957279500).

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

10020212012020 is a wasteful number, since it uses less digits than its factorization.

10020212012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587753 (or 587751 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10020212012020 its reverse (2021021202001), we get a palindrome (12041233214021).

The spelling of 10020212012020 in words is "ten trillion, twenty billion, two hundred twelve million, twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 6481 12962 25924 32405 45367 64810 90734 123139 129620 181468 226835 246278 453670 492556 581237 615695 861973 907340 1162474 1231390 1723946 2324948 2462780 2906185 3447892 4068659 4309865 5812370 8137318 8619730 11043503 11624740 16274636 17239460 20343295 22087006 40686590 44174012 55217515 77304521 81373180 110435030 154609042 220870060 309218084 386522605 773045210 1546090420 3766996997 7533993994 15067987988 18834984985 26368978979 37669969970 52737957958 71572942943 75339939940 105475915916 131844894895 143145885886 263689789790 286291771772 357864714715 501010600601 527379579580 715729429430 1002021201202 1431458858860 2004042402404 2505053003005 5010106006010 10020212012020