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1012340120 = 235112979337
BaseRepresentation
bin111100010101110…
…001010110011000
32121112220012120112
4330111301112120
54033124340440
6244241543452
734041514631
oct7425612630
92545805515
101012340120
1147a492130
12243044b88
1313196ac2c
1498640888
155dd1c965
hex3c571598

1012340120 has 64 divisors (see below), whose sum is σ = 2570551200. Its totient is φ = 355425280.

The previous prime is 1012340111. The next prime is 1012340141. The reversal of 1012340120 is 210432101.

1012340120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10123401202 = 2049665037123228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1012340095 and 1012340104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26909 + ... + 52428.

Almost surely, 21012340120 is an apocalyptic number.

1012340120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012340120 is an abundant number, since it is smaller than the sum of its proper divisors (1558211080).

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

1012340120 is a wasteful number, since it uses less digits than its factorization.

1012340120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79388 (or 79384 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1012340120 is about 31817.2927823849. The cubic root of 1012340120 is about 1004.0965685435.

Adding to 1012340120 its reverse (210432101), we get a palindrome (1222772221).

The spelling of 1012340120 in words is "one billion, twelve million, three hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 580 638 1160 1276 1595 2552 3190 6380 12760 79337 158674 317348 396685 634696 793370 872707 1586740 1745414 2300773 3173480 3490828 4363535 4601546 6981656 8727070 9203092 11503865 17454140 18406184 23007730 25308503 34908280 46015460 50617006 92030920 101234012 126542515 202468024 253085030 506170060 1012340120