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100212100002 = 23272657117291
BaseRepresentation
bin101110101010100011…
…0110100101110100010
3100120122221202010202100
41131111012310232202
53120213244200002
6114011541031230
710145230536600
oct1352506645642
9316587663670
10100212100002
1139555132a63
12175089b5516
1395b07423c1
144bc92b2870
152917b8411c
hex17551b4ba2

100212100002 has 72 divisors (see below), whose sum is σ = 252628442352. Its totient is φ = 28626015600.

The previous prime is 100212099983. The next prime is 100212100013. The reversal of 100212100002 is 200001212001.

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 5786977 + ... + 5804267.

It is an arithmetic number, because the mean of its divisors is an integer number (3508728366).

Almost surely, 2100212100002 is an apocalyptic number.

100212100002 is an abundant number, since it is smaller than the sum of its proper divisors (152416342350).

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

100212100002 is a wasteful number, since it uses less digits than its factorization.

100212100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23884 (or 23874 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100212100002 its reverse (200001212001), we get a palindrome (300213312003).

The spelling of 100212100002 in words is "one hundred billion, two hundred twelve million, one hundred thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 6571 13142 17291 19713 34582 39426 45997 51873 59139 91994 103746 118278 121037 137991 155619 242074 275982 311238 321979 363111 413973 643958 726222 827946 847259 965937 1089333 1694518 1931874 2178666 2541777 2897811 5083554 5795622 7625331 15250662 113619161 227238322 340857483 681714966 795334127 1022572449 1590668254 2045144898 2386002381 4772004762 5567338889 7158007143 11134677778 14316014286 16702016667 33404033334 50106050001 100212100002