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1011202022112 = 25326683394759
BaseRepresentation
bin11101011011100000101…
…01100101101011100000
310120200002102000002221220
432231300111211223200
5113031420204201422
62052312332415040
7133025346240432
oct16556025455340
93520072002856
101011202022112
1135a9371a7a07
12143b89617480
13744820079a9
1436d2a0a4652
151b484e0de5c
hexeb70565ae0

1011202022112 has 48 divisors (see below), whose sum is σ = 2654511511680. Its totient is φ = 337053854592.

The previous prime is 1011202022111. The next prime is 1011202022123. The reversal of 1011202022112 is 2112202021101.

1011202022112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×10112020221123 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1011202022091 and 1011202022100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011202022111) 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, 2364189 + ... + 2758947.

It is an arithmetic number, because the mean of its divisors is an integer number (55302323160).

Almost surely, 21011202022112 is an apocalyptic number.

1011202022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011202022112 is an abundant number, since it is smaller than the sum of its proper divisors (1643309489568).

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

1011202022112 is a wasteful number, since it uses less digits than its factorization.

1011202022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421455 (or 421447 counting only the distinct ones).

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

Adding to 1011202022112 its reverse (2112202021101), we get a palindrome (3123404043213).

The spelling of 1011202022112 in words is "one trillion, eleven billion, two hundred two million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 26683 53366 80049 106732 160098 213464 320196 394759 426928 640392 789518 853856 1184277 1280784 1579036 2368554 2561568 3158072 4737108 6316144 9474216 12632288 18948432 37896864 10533354397 21066708794 31600063191 42133417588 63200126382 84266835176 126400252764 168533670352 252800505528 337067340704 505601011056 1011202022112