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1010222102112 = 25317236412273
BaseRepresentation
bin11101011001101011110…
…11011111011001100000
310120120120010010000102120
432230311323133121200
5113022413324231422
62052031205344240
7132662150121006
oct16546573373140
93516503100376
101010222102112
1135a484049573
12143955408080
1374356cab482
1436c75ca2a76
151b428d9745c
hexeb35edf660

1010222102112 has 72 divisors (see below), whose sum is σ = 2816999165736. Its totient is φ = 316932415488.

The previous prime is 1010222102089. The next prime is 1010222102117. The reversal of 1010222102112 is 2112012220101.

It is a junction number, because it is equal to n+sod(n) for n = 1010222102091 and 1010222102100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010222102117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18178393 + ... + 18233880.

It is an arithmetic number, because the mean of its divisors is an integer number (39124988413).

Almost surely, 21010222102112 is an apocalyptic number.

1010222102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010222102112 is an abundant number, since it is smaller than the sum of its proper divisors (1806777063624).

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

1010222102112 is a wasteful number, since it uses less digits than its factorization.

1010222102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36412320 (or 36412295 counting only the distinct ones).

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

Adding to 1010222102112 its reverse (2112012220101), we get a palindrome (3122234322213).

The spelling of 1010222102112 in words is "one trillion, ten billion, two hundred twenty-two million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 289 408 544 578 816 867 1156 1632 1734 2312 3468 4624 6936 9248 13872 27744 36412273 72824546 109236819 145649092 218473638 291298184 436947276 582596368 619008641 873894552 1165192736 1238017282 1747789104 1857025923 2476034564 3495578208 3714051846 4952069128 7428103692 9904138256 10523146897 14856207384 19808276512 21046293794 29712414768 31569440691 42092587588 59424829536 63138881382 84185175176 126277762764 168370350352 252555525528 336740700704 505111051056 1010222102112