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1012011420 = 223573765123
BaseRepresentation
bin111100010100100…
…001000110011100
32121112021111200110
4330110201012130
54033033331140
6244230530020
734035645420
oct7424410634
92545244613
101012011420
1147a288182
12242b06910
13131884434
1498596b80
155dca5380
hex3c52119c

1012011420 has 96 divisors (see below), whose sum is σ = 3326012928. Its totient is φ = 225061632.

The previous prime is 1012011401. The next prime is 1012011437. The reversal of 1012011420 is 241102101.

It is a happy number.

It is a super-2 number, since 2×10120114202 = 2048334228420832800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1012011396 and 1012011405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17022 + ... + 48101.

It is an arithmetic number, because the mean of its divisors is an integer number (34645968).

Almost surely, 21012011420 is an apocalyptic number.

1012011420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012011420 is an abundant number, since it is smaller than the sum of its proper divisors (2314001508).

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

1012011420 is a wasteful number, since it uses less digits than its factorization.

1012011420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65179 (or 65177 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1012011420 is about 31812.1269329795. The cubic root of 1012011420 is about 1003.9878823212.

Adding to 1012011420 its reverse (241102101), we get a palindrome (1253113521).

The spelling of 1012011420 in words is "one billion, twelve million, eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 60 70 74 84 105 111 140 148 185 210 222 259 370 420 444 518 555 740 777 1036 1110 1295 1554 2220 2590 3108 3885 5180 7770 15540 65123 130246 195369 260492 325615 390738 455861 651230 781476 911722 976845 1302460 1367583 1823444 1953690 2279305 2409551 2735166 3907380 4558610 4819102 5470332 6837915 7228653 9117220 9638204 12047755 13675830 14457306 16866857 24095510 27351660 28914612 33733714 36143265 48191020 50600571 67467428 72286530 84334285 101201142 144573060 168668570 202402284 253002855 337337140 506005710 1012011420