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1023101430 = 235133770901
BaseRepresentation
bin111100111110110…
…100100111110110
32122022010221022120
4330332310213312
54043403221210
6245304340410
734232135001
oct7476644766
92568127276
101023101430
1148557227a
12246774706
13133c68180
1499c42538
155ec46270
hex3cfb49f6

1023101430 has 64 divisors (see below), whose sum is σ = 2715830208. Its totient is φ = 245030400.

The previous prime is 1023101423. The next prime is 1023101461. The reversal of 1023101430 is 341013201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21021 + ... + 49880.

It is an arithmetic number, because the mean of its divisors is an integer number (42434847).

Almost surely, 21023101430 is an apocalyptic number.

1023101430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1023101430 is an abundant number, since it is smaller than the sum of its proper divisors (1692728778).

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

1023101430 is a wasteful number, since it uses less digits than its factorization.

1023101430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70961.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1023101430 is about 31985.9567623043. The cubic root of 1023101430 is about 1007.6419288299.

Adding to 1023101430 its reverse (341013201), we get a palindrome (1364114631).

It can be divided in two parts, 102310 and 1430, that added together give a triangular number (103740 = T455).

The spelling of 1023101430 in words is "one billion, twenty-three million, one hundred one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 37 39 65 74 78 111 130 185 195 222 370 390 481 555 962 1110 1443 2405 2886 4810 7215 14430 70901 141802 212703 354505 425406 709010 921713 1063515 1843426 2127030 2623337 2765139 4608565 5246674 5530278 7870011 9217130 13116685 13825695 15740022 26233370 27651390 34103381 39350055 68206762 78700110 102310143 170516905 204620286 341033810 511550715 1023101430