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10001021222112 = 253169761389101
BaseRepresentation
bin1001000110001000101101…
…0100010011110011100000
31022102002101100211201012120
42101202023110103303200
52302324042413101422
633134223345224240
72051356425524244
oct221421324236340
938362340751176
1010001021222112
113206455832338
121156321932080
135771278b616b
142680a2a02424
1512523991745c
hex9188b513ce0

10001021222112 has 48 divisors (see below), whose sum is σ = 26268151189392. Its totient is φ = 3331709235200.

The previous prime is 10001021222083. The next prime is 10001021222123. The reversal of 10001021222112 is 21122212010001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 10001021222091 and 10001021222100.

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, 30531639 + ... + 30857462.

It is an arithmetic number, because the mean of its divisors is an integer number (547253149779).

Almost surely, 210001021222112 is an apocalyptic number.

10001021222112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10001021222112 is an abundant number, since it is smaller than the sum of its proper divisors (16267129967280).

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

10001021222112 is a wasteful number, since it uses less digits than its factorization.

10001021222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61390811 (or 61390803 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10001021222112 its reverse (21122212010001), we get a palindrome (31123233232113).

The spelling of 10001021222112 in words is "ten trillion, one billion, twenty-one million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1697 3394 5091 6788 10182 13576 20364 27152 40728 54304 81456 162912 61389101 122778202 184167303 245556404 368334606 491112808 736669212 982225616 1473338424 1964451232 2946676848 5893353696 104177304397 208354608794 312531913191 416709217588 625063826382 833418435176 1250127652764 1666836870352 2500255305528 3333673740704 5000510611056 10001021222112