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10021101020 = 2257792773271
BaseRepresentation
bin10010101010100110…
…11101110111011100
3221212101110200021122
421111103131313130
5131010400213040
64334214550112
7503221644650
oct112523356734
927771420248
1010021101020
114282717577
121b38068338
13c39197a98
146b0c96a60
153d9b7a1b5
hex2554ddddc

10021101020 has 96 divisors (see below), whose sum is σ = 24450478080. Its totient is φ = 3379034880.

The previous prime is 10021101017. The next prime is 10021101037. The reversal of 10021101020 is 2010112001.

It is a junction number, because it is equal to n+sod(n) for n = 10021100989 and 10021101007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3061985 + ... + 3065255.

It is an arithmetic number, because the mean of its divisors is an integer number (254692480).

Almost surely, 210021101020 is an apocalyptic number.

10021101020 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 10021101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12225239040).

10021101020 is an abundant number, since it is smaller than the sum of its proper divisors (14429377060).

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

10021101020 is a wasteful number, since it uses less digits than its factorization.

10021101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3643 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10021101020 its reverse (2010112001), we get a palindrome (12031213021).

The spelling of 10021101020 in words is "ten billion, twenty-one million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 79 140 158 277 316 395 553 554 790 1106 1108 1385 1580 1939 2212 2765 2770 3271 3878 5530 5540 6542 7756 9695 11060 13084 16355 19390 21883 22897 32710 38780 43766 45794 65420 87532 91588 109415 114485 153181 218830 228970 258409 306362 437660 457940 516818 612724 765905 906067 1033636 1292045 1531810 1808863 1812134 2584090 3063620 3617726 3624268 4530335 5168180 6342469 7235452 9044315 9060670 12684938 18088630 18121340 25369876 31712345 36177260 63424690 71579293 126849380 143158586 286317172 357896465 501055051 715792930 1002110102 1431585860 2004220204 2505275255 5010550510 10021101020