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10122100112020 = 225131091013935227
BaseRepresentation
bin1001001101001011110000…
…1011100111101010010100
31022211122220120010121102111
42103102330023213222110
52311320030112041040
633310010102120404
72063204035231261
oct223227413475224
938748816117374
1010122100112020
1132528386a3406
121175892a20104
1358568246c710
1426dcab350268
15128474483dea
hex934bc2e7a94

10122100112020 has 96 divisors (see below), whose sum is σ = 23104466985600. Its totient is φ = 3702632477184.

The previous prime is 10122100112011. The next prime is 10122100112023. The reversal of 10122100112020 is 2021100122101.

10122100112020 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 (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122100112023) 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, 287321647 + ... + 287356873.

It is an arithmetic number, because the mean of its divisors is an integer number (240671531100).

Almost surely, 210122100112020 is an apocalyptic number.

10122100112020 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 10122100112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11552233492800).

10122100112020 is an abundant number, since it is smaller than the sum of its proper divisors (12982366873580).

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

10122100112020 is a wasteful number, since it uses less digits than its factorization.

10122100112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45497 (or 45495 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10122100112020 its reverse (2021100122101), we get a palindrome (12143200234121).

The spelling of 10122100112020 in words is "ten trillion, one hundred twenty-two billion, one hundred million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 109 130 218 260 436 545 1090 1417 2180 2834 5668 7085 10139 14170 20278 28340 35227 40556 50695 70454 101390 131807 140908 176135 202780 263614 352270 457951 527228 659035 704540 915902 1105151 1318070 1831804 2210302 2289755 2636140 3839743 4420604 4579510 5525755 7679486 9159020 11051510 14366963 15358972 19198715 22103020 28733926 38397430 49916659 57467852 71834815 76794860 99833318 143669630 199666636 249583295 287339260 357166553 499166590 714333106 998333180 1428666212 1785832765 3571665530 4643165189 7143331060 9286330378 18572660756 23215825945 38931154277 46431651890 77862308554 92863303780 155724617108 194655771385 389311542770 506105005601 778623085540 1012210011202 2024420022404 2530525028005 5061050056010 10122100112020