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20100023020 = 22571127747119
BaseRepresentation
bin10010101110000011…
…100000001011101100
31220212210201222001001
4102232003200023230
5312131101214040
613122301130044
71311045243130
oct225603401354
956783658031
1020100023020
118584a36880
123a8b559924
131b84328a5c
14d896c13c0
157c992759a
hex4ae0e02ec

20100023020 has 96 divisors (see below), whose sum is σ = 52816619520. Its totient is φ = 6242192640.

The previous prime is 20100022951. The next prime is 20100023087. The reversal of 20100023020 is 2032000102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20100022988 and 20100023006.

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, 403021 + ... + 450139.

It is an arithmetic number, because the mean of its divisors is an integer number (550173120).

Almost surely, 220100023020 is an apocalyptic number.

20100023020 is a gapful number since it is divisible by the number (20) 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 20100023020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26408309760).

20100023020 is an abundant number, since it is smaller than the sum of its proper divisors (32716596500).

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

20100023020 is a wasteful number, since it uses less digits than its factorization.

20100023020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47423 (or 47421 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 20100023020 its reverse (2032000102), we get a palindrome (22132023122).

The spelling of 20100023020 in words is "twenty billion, one hundred million, twenty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 277 308 385 554 770 1108 1385 1540 1939 2770 3047 3878 5540 6094 7756 9695 12188 15235 19390 21329 30470 38780 42658 47119 60940 85316 94238 106645 188476 213290 235595 329833 426580 471190 518309 659666 942380 1036618 1319332 1649165 2073236 2591545 3298330 3628163 5183090 6596660 7256326 10366180 13051963 14512652 18140815 26103926 36281630 52207852 65259815 72563260 91363741 130519630 143571593 182727482 261039260 287143186 365454964 456818705 574286372 717857965 913637410 1005001151 1435715930 1827274820 2010002302 2871431860 4020004604 5025005755 10050011510 20100023020