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1012330020 = 2235135412399
BaseRepresentation
bin111100010101101…
…110111000100100
32121112212200201110
4330111232320210
54033124030040
6244241425020
734041443322
oct7425567044
92545780643
101012330020
1147a485589
1224303b170
13131966460
149863ad12
155dd19980
hex3c56ee24

1012330020 has 96 divisors (see below), whose sum is σ = 3059481600. Its totient is φ = 248624640.

The previous prime is 1012330019. The next prime is 1012330021. The reversal of 1012330020 is 200332101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1012330019) and next prime (1012330021).

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 = 1012329978 and 1012330005.

It is not an unprimeable number, because it can be changed into a prime (1012330021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420781 + ... + 423179.

It is an arithmetic number, because the mean of its divisors is an integer number (31869600).

Almost surely, 21012330020 is an apocalyptic number.

1012330020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529740800).

1012330020 is an abundant number, since it is smaller than the sum of its proper divisors (2047151580).

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

1012330020 is a wasteful number, since it uses less digits than its factorization.

1012330020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2965 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1012330020 is about 31817.1340632685. The cubic root of 1012330020 is about 1004.0932292807.

Adding to 1012330020 its reverse (200332101), we get a palindrome (1212662121).

The spelling of 1012330020 in words is "one billion, twelve million, three hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 541 780 1082 1623 2164 2399 2705 3246 4798 5410 6492 7033 7197 8115 9596 10820 11995 14066 14394 16230 21099 23990 28132 28788 31187 32460 35165 35985 42198 47980 62374 70330 71970 84396 93561 105495 124748 140660 143940 155935 187122 210990 311870 374244 421980 467805 623740 935610 1297859 1871220 2595718 3893577 5191436 6489295 7787154 12978590 15574308 16872167 19467885 25957180 33744334 38935770 50616501 67488668 77871540 84360835 101233002 168721670 202466004 253082505 337443340 506165010 1012330020