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1022103112032 = 25331182989713
BaseRepresentation
bin11101101111110100001…
…01111100100101100000
310121201020010022212002000
432313322011330211200
5113221231344041112
62101314144524000
7133562445050622
oct16677205744540
93551203285060
101022103112032
11364520619132
12146110320600
13754cb5b0962
1437681b88c12
151b8c1e617dc
hexedfa17c960

1022103112032 has 48 divisors (see below), whose sum is σ = 2981134079280. Its totient is φ = 340701037056.

The previous prime is 1022103112003. The next prime is 1022103112049. The reversal of 1022103112032 is 2302113012201.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1022103111996 and 1022103112014.

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, 591493993 + ... + 591495720.

It is an arithmetic number, because the mean of its divisors is an integer number (62106959985).

Almost surely, 21022103112032 is an apocalyptic number.

1022103112032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022103112032 is an abundant number, since it is smaller than the sum of its proper divisors (1959030967248).

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

1022103112032 is a wasteful number, since it uses less digits than its factorization.

1022103112032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182989732 (or 1182989718 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1022103112032 its reverse (2302113012201), we get a palindrome (3324216124233).

The spelling of 1022103112032 in words is "one trillion, twenty-two billion, one hundred three million, one hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1182989713 2365979426 3548969139 4731958852 7097938278 9463917704 10646907417 14195876556 18927835408 21293814834 28391753112 31940722251 37855670816 42587629668 56783506224 63881444502 85175259336 113567012448 127762889004 170350518672 255525778008 340701037344 511051556016 1022103112032