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100300012020 = 223351314287751
BaseRepresentation
bin101110101101001011…
…0001011100111110100
3100120220002011112101000
41131122112023213310
53120403300341040
6114024401203300
710150346015055
oct1353226134764
9316802145330
10100300012020
113959a81861a
1217532330530
1395c5a12b50
144bd6c3872c
15292074c130
hex175a58b9f4

100300012020 has 96 divisors (see below), whose sum is σ = 336047927040. Its totient is φ = 24689232000.

The previous prime is 100300012013. The next prime is 100300012027. The reversal of 100300012020 is 20210003001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100300012013) and next prime (100300012027).

It is a super-2 number, since 2×1003000120202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100300011993 and 100300012011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100300012027) 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, 7136856 + ... + 7150895.

It is an arithmetic number, because the mean of its divisors is an integer number (3500499240).

Almost surely, 2100300012020 is an apocalyptic number.

100300012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100300012020 is an abundant number, since it is smaller than the sum of its proper divisors (235747915020).

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

100300012020 is a wasteful number, since it uses less digits than its factorization.

100300012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14287782 (or 14287774 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 100300012020 its reverse (20210003001), we get a palindrome (120510015021).

The spelling of 100300012020 in words is "one hundred billion, three hundred million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 14287751 28575502 42863253 57151004 71438755 85726506 128589759 142877510 171453012 185740763 214316265 257179518 285755020 371481526 385769277 428632530 514359036 557222289 642948795 742963052 771538554 857265060 928703815 1114444578 1285897590 1543077108 1671666867 1857407630 1928846385 2228889156 2571795180 2786111445 3343333734 3714815260 3857692770 5015000601 5572222890 6686667468 7715385540 8358334335 10030001202 11144445780 16716668670 20060002404 25075003005 33433337340 50150006010 100300012020