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1013023011 = 372112132337
BaseRepresentation
bin111100011000011…
…000000100100011
32121121011220022210
4330120120010203
54033313214021
6244304333203
734050360600
oct7430300443
92547156283
101013023011
1147a909200
12243314203
13131b49a00
149877b6a7
155de04e76
hex3c618123

1013023011 has 108 divisors (see below), whose sum is σ = 1875660696. Its totient is φ = 484323840.

The previous prime is 1013023003. The next prime is 1013023021. The reversal of 1013023011 is 1103203101.

It is not a de Polignac number, because 1013023011 - 23 = 1013023003 is a prime.

It is a super-2 number, since 2×10130230112 = 2052431241631012242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1013023021) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3005835 + ... + 3006171.

Almost surely, 21013023011 is an apocalyptic number.

1013023011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1013023011 is a deficient number, since it is larger than the sum of its proper divisors (862637685).

1013023011 is a wasteful number, since it uses less digits than its factorization.

1013023011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1013023011 is about 31828.0224173605. The cubic root of 1013023011 is about 1004.3222945200.

Adding to 1013023011 its reverse (1103203101), we get a palindrome (2116226112).

The spelling of 1013023011 in words is "one billion, thirteen million, twenty-three thousand, eleven".

Divisors: 1 3 7 11 13 21 33 39 49 77 91 121 143 147 169 231 273 337 363 429 507 539 637 847 1001 1011 1183 1573 1617 1859 1911 2359 2541 3003 3549 3707 4381 4719 5577 5929 7007 7077 8281 11011 11121 13013 13143 16513 17787 20449 21021 24843 25949 30667 33033 39039 40777 48191 49539 56953 61347 77077 77847 91091 92001 122331 143143 144573 170859 181643 214669 231231 273273 285439 337337 398671 429429 530101 544929 626483 644007 856317 1002001 1012011 1196013 1590303 1879449 1998073 2361359 2790697 3006003 3710707 4385381 5994219 6891313 7084077 8372091 11132121 13156143 20673939 25974949 30697667 48239191 77924847 92093001 144717573 337674337 1013023011