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2100300100332 = 223767754136823
BaseRepresentation
bin11110100100000011101…
…001000011001011101100
321102210020112011212110220
4132210003221003023230
5233402403311202312
64244510424131340
7304512252201450
oct36440351031354
97383215155426
102100300100332
1173a806719795
1229b076306b50
131230992a8475
147392570c660
1539978745c8c
hex1e903a432ec

2100300100332 has 96 divisors (see below), whose sum is σ = 5610931694592. Its totient is φ = 599000852736.

The previous prime is 2100300100331. The next prime is 2100300100333. The reversal of 2100300100332 is 2330010030012.

It is an interprime number because it is at equal distance from previous prime (2100300100331) and next prime (2100300100333).

It is a super-2 number, since 2×21003001003322 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2100300100331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307823073 + ... + 307829895.

It is an arithmetic number, because the mean of its divisors is an integer number (58447205152).

Almost surely, 22100300100332 is an apocalyptic number.

It is an amenable number.

2100300100332 is an abundant number, since it is smaller than the sum of its proper divisors (3510631594260).

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

2100300100332 is a wasteful number, since it uses less digits than its factorization.

2100300100332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12927 (or 12925 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 2100300100332 its reverse (2330010030012), we get a palindrome (4430310130344).

The spelling of 2100300100332 in words is "two trillion, one hundred billion, three hundred million, one hundred thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 677 1354 2031 2708 4062 4739 5413 6823 8124 9478 10826 13646 14217 16239 18956 20469 21652 27292 28434 32478 37891 40938 47761 56868 64956 75782 81876 95522 113673 143283 151564 191044 227346 286566 454692 573132 3664601 4619171 7329202 9238342 10993803 13857513 14658404 18476684 21987606 25652207 27715026 32334197 36932899 43975212 51304414 55430052 64668394 73865798 76956621 97002591 102608828 110798697 129336788 147731596 153913242 194005182 221597394 258530293 307826484 388010364 443194788 517060586 775590879 1034121172 1551181758 3102363516 25003572623 50007145246 75010717869 100014290492 150021435738 175025008361 300042871476 350050016722 525075025083 700100033444 1050150050166 2100300100332