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100022002112 = 2615788111299
BaseRepresentation
bin101110100100111000…
…1101010000111000000
3100120011201001011110202
41131021301222013000
53114321113031422
6113541030344332
710140431663414
oct1351161520700
9316151034422
10100022002112
11394678a366a
12174751bb0a8
139580244246
144babd4ad44
152906133b92
hex1749c6a1c0

100022002112 has 56 divisors (see below), whose sum is σ = 199989795600. Its totient is φ = 49631662080.

The previous prime is 100022002057. The next prime is 100022002121. The reversal of 100022002112 is 211200220001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100022002093 and 100022002102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8846639 + ... + 8857937.

It is an arithmetic number, because the mean of its divisors is an integer number (3571246350).

Almost surely, 2100022002112 is an apocalyptic number.

It is an amenable number.

100022002112 is a deficient number, since it is larger than the sum of its proper divisors (99967793488).

100022002112 is a wasteful number, since it uses less digits than its factorization.

100022002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12349 (or 12339 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100022002112 its reverse (211200220001), we get a palindrome (311222222113).

The spelling of 100022002112 in words is "one hundred billion, twenty-two million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 157 314 628 881 1256 1762 2512 3524 5024 7048 10048 11299 14096 22598 28192 45196 56384 90392 138317 180784 276634 361568 553268 723136 1106536 1773943 2213072 3547886 4426144 7095772 8852288 9954419 14191544 19908838 28383088 39817676 56766176 79635352 113532352 159270704 318541408 637082816 1562843783 3125687566 6251375132 12502750264 25005500528 50011001056 100022002112