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10100030020 = 22523312692633
BaseRepresentation
bin10010110100000001…
…00011101001000100
3222001212222200111221
421122000203221010
5131141101430040
64350114410124
7505200560443
oct113200435104
928055880457
1010100030020
114313227053
121b5a590944
13c4c641832
146bb560d5a
153e1a6b74a
hex25a023a44

10100030020 has 96 divisors (see below), whose sum is σ = 22939822080. Its totient is φ = 3724385280.

The previous prime is 10100029981. The next prime is 10100030027. The reversal of 10100030020 is 2003000101.

It is a junction number, because it is equal to n+sod(n) for n = 10100029985 and 10100030012.

It is not an unprimeable number, because it can be changed into a prime (10100030027) 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, 3834624 + ... + 3837256.

It is an arithmetic number, because the mean of its divisors is an integer number (238956480).

Almost surely, 210100030020 is an apocalyptic number.

10100030020 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 10100030020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11469911040).

10100030020 is an abundant number, since it is smaller than the sum of its proper divisors (12839792060).

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

10100030020 is a wasteful number, since it uses less digits than its factorization.

10100030020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2965 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 10100030020 its reverse (2003000101), we get a palindrome (12103030121).

The spelling of 10100030020 in words is "ten billion, one hundred million, thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 269 310 460 538 620 713 1076 1345 1426 2633 2690 2852 3565 5266 5380 6187 7130 8339 10532 12374 13165 14260 16678 24748 26330 30935 33356 41695 52660 60559 61870 81623 83390 121118 123740 163246 166780 191797 242236 302795 326492 383594 408115 605590 708277 767188 816230 958985 1211180 1416554 1632460 1877329 1917970 2833108 3541385 3754658 3835940 7082770 7509316 9386645 14165540 16290371 18773290 21956587 32580742 37546580 43913174 65161484 81451855 87826348 109782935 162903710 219565870 325807420 439131740 505001501 1010003002 2020006004 2525007505 5050015010 10100030020