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100020002110 = 2572968372139
BaseRepresentation
bin101110100100110101…
…0000001110100111110
3100120011120021112222121
41131021222001310332
53114320110031420
6113540515433154
710140405663460
oct1351152016476
9316146245877
10100020002110
1139466757a76
12174745b57ba
13957c9c3b02
144bab98a130
152905d8b2aa
hex1749a81d3e

100020002110 has 64 divisors (see below), whose sum is σ = 213165043200. Its totient is φ = 33061133952.

The previous prime is 100020002087. The next prime is 100020002119. The reversal of 100020002110 is 11200020001.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 100020002093 and 100020002102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020002119) 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, 1350421 + ... + 1422559.

It is an arithmetic number, because the mean of its divisors is an integer number (3330703800).

Almost surely, 2100020002110 is an apocalyptic number.

100020002110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100020002110 is an abundant number, since it is smaller than the sum of its proper divisors (113145041090).

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

100020002110 is a wasteful number, since it uses less digits than its factorization.

100020002110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72865.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 100020002110 its reverse (11200020001), we get a palindrome (111220022111).

The spelling of 100020002110 in words is "one hundred billion, twenty million, two thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 29 35 58 70 145 203 290 406 683 1015 1366 2030 3415 4781 6830 9562 19807 23905 39614 47810 72139 99035 138649 144278 198070 277298 360695 504973 693245 721390 1009946 1386490 2092031 2524865 4184062 5049730 10460155 14644217 20920310 29288434 49270937 73221085 98541874 146442170 246354685 344896559 492709370 689793118 1428857173 1724482795 2857714346 3448965590 7144285865 10002000211 14288571730 20004000422 50010001055 100020002110