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10222001122112 = 261319363658337
BaseRepresentation
bin1001010010111111111010…
…1111101110101101000000
31100012012202211111202001022
42110233332233232231000
52314434124241401422
633423531131325012
72103341500632413
oct224577657565500
940165684452038
1010222001122112
11329114316796a
1211911135b0768
13591c13600340
14274a671a3b7a
1512ad6eb68342
hex94bfebeeb40

10222001122112 has 56 divisors (see below), whose sum is σ = 21957797843016. Its totient is φ = 4693401796608.

The previous prime is 10222001122103. The next prime is 10222001122117. The reversal of 10222001122112 is 21122110022201.

It can be written as a sum of positive squares in 4 ways, for example, as 207156060736 + 10014845061376 = 455144^2 + 3164624^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222001122117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31668593 + ... + 31989744.

It is an arithmetic number, because the mean of its divisors is an integer number (392103532911).

Almost surely, 210222001122112 is an apocalyptic number.

It is an amenable number.

10222001122112 is an abundant number, since it is smaller than the sum of its proper divisors (11735796720904).

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

10222001122112 is a wasteful number, since it uses less digits than its factorization.

10222001122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63658555 (or 63658545 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10222001122112 its reverse (21122110022201), we get a palindrome (31344111144313).

The spelling of 10222001122112 in words is "ten trillion, two hundred twenty-two billion, one million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 193 208 386 416 772 832 1544 2509 3088 5018 6176 10036 12352 20072 40144 80288 160576 63658337 127316674 254633348 509266696 827558381 1018533392 1655116762 2037066784 3310233524 4074133568 6620467048 12286059041 13240934096 24572118082 26481868192 49144236164 52963736384 98288472328 159718767533 196576944656 319437535066 393153889312 638875070132 786307778624 1277750140264 2555500280528 5111000561056 10222001122112