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1022010111120 = 24354921186533
BaseRepresentation
bin11101101111101001000…
…11001011010010010000
310121200222122022220210210
432313310203023102100
5113221034042023440
62101301023324120
7133560235416135
oct16676443132220
93550878286723
101022010111120
11364483078179
121460a5150640
13754b524ab2b
143767369a58c
151b8b8be0a80
hexedf48cb490

1022010111120 has 80 divisors (see below), whose sum is σ = 3168332338752. Its totient is φ = 272527342080.

The previous prime is 1022010111061. The next prime is 1022010111151. The reversal of 1022010111120 is 211110102201.

1022010111120 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1022010111096 and 1022010111105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11767374 + ... + 11853906.

Almost surely, 21022010111120 is an apocalyptic number.

1022010111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022010111120 is an abundant number, since it is smaller than the sum of its proper divisors (2146322227632).

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

1022010111120 is a wasteful number, since it uses less digits than its factorization.

1022010111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135760 (or 135754 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1022010111120 its reverse (211110102201), we get a palindrome (1233120213321).

The spelling of 1022010111120 in words is "one trillion, twenty-two billion, ten million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 49211 86533 98422 147633 173066 196844 246055 259599 295266 346132 393688 432665 492110 519198 590532 692264 738165 787376 865330 984220 1038396 1181064 1297995 1384528 1476330 1730660 1968440 2076792 2362128 2595990 2952660 3461320 3936880 4153584 5191980 5905320 6922640 10383960 11810640 20767920 4258375463 8516750926 12775126389 17033501852 21291877315 25550252778 34067003704 42583754630 51100505556 63875631945 68134007408 85167509260 102201011112 127751263890 170335018520 204402022224 255502527780 340670037040 511005055560 1022010111120