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1021120022112 = 25331343118287
BaseRepresentation
bin11101101101111110111…
…11110000011001100000
310121121200121110201020020
432312333133300121200
5113212223211201422
62101032425513440
7133526206656351
oct16667737603140
93547617421206
101021120022112
113640666a5123
12145a97042880
13753a2a14648
14375cb39dd28
151b8659c095c
hexedbf7f0660

1021120022112 has 48 divisors (see below), whose sum is σ = 2766905874432. Its totient is φ = 329393554560.

The previous prime is 1021120022053. The next prime is 1021120022183. The reversal of 1021120022112 is 2112200211201.

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

It is a super-2 number, since 2×10211200221122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1021120022091 and 1021120022100.

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, 171556168 + ... + 171562119.

It is an arithmetic number, because the mean of its divisors is an integer number (57643872384).

Almost surely, 21021120022112 is an apocalyptic number.

1021120022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1021120022112 is an abundant number, since it is smaller than the sum of its proper divisors (1745785852320).

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

1021120022112 is a wasteful number, since it uses less digits than its factorization.

1021120022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343118331 (or 343118323 counting only the distinct ones).

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

Adding to 1021120022112 its reverse (2112200211201), we get a palindrome (3133320233313).

The spelling of 1021120022112 in words is "one trillion, twenty-one billion, one hundred twenty million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 343118287 686236574 1029354861 1372473148 2058709722 2744946296 4117419444 5489892592 8234838888 10636666897 10979785184 16469677776 21273333794 31910000691 32939355552 42546667588 63820001382 85093335176 127640002764 170186670352 255280005528 340373340704 510560011056 1021120022112