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1013022010 = 2571113175953
BaseRepresentation
bin111100011000010…
…111110100111010
32121121011211221201
4330120113310322
54033313201020
6244304324414
734050354640
oct7430276472
92547154851
101013022010
1147a908480
1224331370a
13131b49410
149877b190
155de04a0a
hex3c617d3a

1013022010 has 128 divisors (see below), whose sum is σ = 2592705024. Its totient is φ = 274268160.

The previous prime is 1013022007. The next prime is 1013022013. The reversal of 1013022010 is 102203101.

It is an interprime number because it is at equal distance from previous prime (1013022007) and next prime (1013022013).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1013022013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 167194 + ... + 173146.

It is an arithmetic number, because the mean of its divisors is an integer number (20255508).

Almost surely, 21013022010 is an apocalyptic number.

1013022010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1013022010 is an abundant number, since it is smaller than the sum of its proper divisors (1579683014).

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

1013022010 is a wasteful number, since it uses less digits than its factorization.

1013022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6008.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1013022010 is about 31828.0066922200. The cubic root of 1013022010 is about 1004.3219637191.

Adding to 1013022010 its reverse (102203101), we get a palindrome (1115225111).

It can be divided in two parts, 101 and 3022010, that added together give a triangular number (3022111 = T2458).

The spelling of 1013022010 in words is "one billion, thirteen million, twenty-two thousand, ten".

Divisors: 1 2 5 7 10 11 13 14 17 22 26 34 35 55 65 70 77 85 91 110 119 130 143 154 170 182 187 221 238 286 374 385 442 455 595 715 770 910 935 1001 1105 1190 1309 1430 1547 1870 2002 2210 2431 2618 3094 4862 5005 5953 6545 7735 10010 11906 12155 13090 15470 17017 24310 29765 34034 41671 59530 65483 77389 83342 85085 101201 130966 154778 170170 202402 208355 327415 386945 416710 458381 506005 541723 654830 708407 773890 851279 916762 1012010 1083446 1113211 1315613 1416814 1702558 2226422 2291905 2631226 2708615 3542035 4256395 4583810 5417230 5566055 5958953 6578065 7084070 7792477 8512790 9209291 11132110 11917906 13156130 14471743 15584954 18418582 28943486 29794765 38962385 46046455 59589530 72358715 77924770 92092910 101302201 144717430 202604402 506511005 1013022010