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1023001020 = 223257971941
BaseRepresentation
bin111100111110011…
…100000110111100
32122021221211120200
4330332130012330
54043342013040
6245302243500
734231236156
oct7476340674
92567854520
101023001020
11485503898
12246726590
13133c31562
1499c17ad6
155ec26630
hex3cf9c1bc

1023001020 has 72 divisors (see below), whose sum is σ = 3142426560. Its totient is φ = 269343360.

The previous prime is 1023001009. The next prime is 1023001033. The reversal of 1023001020 is 201003201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1023000993 and 1023001011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21751 + ... + 50190.

Almost surely, 21023001020 is an apocalyptic number.

1023001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023001020 is an abundant number, since it is smaller than the sum of its proper divisors (2119425540).

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

1023001020 is a wasteful number, since it uses less digits than its factorization.

1023001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72035 (or 72030 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1023001020 is about 31984.3871287227. The cubic root of 1023001020 is about 1007.6089634975.

Adding to 1023001020 its reverse (201003201), we get a palindrome (1224004221).

The spelling of 1023001020 in words is "one billion, twenty-three million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 158 180 237 316 395 474 711 790 948 1185 1422 1580 2370 2844 3555 4740 7110 14220 71941 143882 215823 287764 359705 431646 647469 719410 863292 1079115 1294938 1438820 2158230 2589876 3237345 4316460 5683339 6474690 11366678 12949380 17050017 22733356 28416695 34100034 51150051 56833390 68200068 85250085 102300102 113666780 170500170 204600204 255750255 341000340 511500510 1023001020