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100212101012 = 221932292832003
BaseRepresentation
bin101110101010100011…
…0110100111110010100
3100120122221202012010202
41131111012310332110
53120213244213022
6114011541040032
710145230542542
oct1352506647624
9316587665122
10100212101012
11395551337a1
12175089b6018
1395b07429ba
144bc92b2d92
152917b84592
hex17551b4f94

100212101012 has 48 divisors (see below), whose sum is σ = 177763938240. Its totient is φ = 49428707328.

The previous prime is 100212100999. The next prime is 100212101023. The reversal of 100212101012 is 210101212001.

It is a junction number, because it is equal to n+sod(n) for n = 100212100984 and 100212101002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50030003 + ... + 50032005.

It is an arithmetic number, because the mean of its divisors is an integer number (3703415380).

Almost surely, 2100212101012 is an apocalyptic number.

It is an amenable number.

100212101012 is a deficient number, since it is larger than the sum of its proper divisors (77551837228).

100212101012 is a wasteful number, since it uses less digits than its factorization.

100212101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2712 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100212101012 its reverse (210101212001), we get a palindrome (310313313013).

The spelling of 100212101012 in words is "one hundred billion, two hundred twelve million, one hundred one thousand, twelve".

Divisors: 1 2 4 193 229 283 386 458 566 772 916 1132 2003 4006 8012 44197 54619 64807 88394 109238 129614 176788 218476 259228 386579 458687 566849 773158 917374 1133698 1546316 1834748 2267396 12507751 25015502 50031004 88526591 109401857 129808421 177053182 218803714 259616842 354106364 437607428 519233684 25053025253 50106050506 100212101012