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1023023220320 = 25528322593269
BaseRepresentation
bin11101110001100001110…
…11111000011001100000
310121210121020200012100202
432320300323320121200
5113230122421022240
62101545334004332
7133624316616233
oct16706073703140
93553536605322
101023023220320
11364952a35102
121463284a66a8
13756170c7b2a
143772c05b41a
151b927b11315
hexee30ef8660

1023023220320 has 48 divisors (see below), whose sum is σ = 2425432721040. Its totient is φ = 407763300864.

The previous prime is 1023023220199. The next prime is 1023023220367. The reversal of 1023023220320 is 230223203201.

1023023220320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1023023220292 and 1023023220301.

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, 11251355 + ... + 11341914.

It is an arithmetic number, because the mean of its divisors is an integer number (50529848355).

Almost surely, 21023023220320 is an apocalyptic number.

1023023220320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023023220320 is an abundant number, since it is smaller than the sum of its proper divisors (1402409500720).

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

1023023220320 is a wasteful number, since it uses less digits than its factorization.

1023023220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22593567 (or 22593559 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 1023023220320 its reverse (230223203201), we get a palindrome (1253246423521).

The spelling of 1023023220320 in words is "one trillion, twenty-three billion, twenty-three million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 283 566 1132 1415 2264 2830 4528 5660 9056 11320 22640 45280 22593269 45186538 90373076 112966345 180746152 225932690 361492304 451865380 722984608 903730760 1807461520 3614923040 6393895127 12787790254 25575580508 31969475635 51151161016 63938951270 102302322032 127877902540 204604644064 255755805080 511511610160 1023023220320