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1012020012 = 223261974751
BaseRepresentation
bin111100010100100…
…011001100101100
32121112021221110200
4330110203030230
54033034120022
6244231033500
734036012443
oct7424431454
92545257420
101012020012
1147a293683
12242b0b890
13131888313
1498599d5a
155dca7bac
hex3c52332c

1012020012 has 72 divisors (see below), whose sum is σ = 2627456832. Its totient is φ = 328320000.

The previous prime is 1012019993. The next prime is 1012020019. The reversal of 1012020012 is 2100202101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1012019976 and 1012020003.

It is not an unprimeable number, because it can be changed into a prime (1012020019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210637 + ... + 215387.

It is an arithmetic number, because the mean of its divisors is an integer number (36492456).

Almost surely, 21012020012 is an apocalyptic number.

1012020012 is a gapful number since it is divisible by the number (12) 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 1012020012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313728416).

1012020012 is an abundant number, since it is smaller than the sum of its proper divisors (1615436820).

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

1012020012 is a wasteful number, since it uses less digits than its factorization.

1012020012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4919 (or 4914 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1012020012 is about 31812.2619755339. The cubic root of 1012020012 is about 1003.9907236065.

Adding to 1012020012 its reverse (2100202101), we get a palindrome (3112222113).

The spelling of 1012020012 in words is "one billion, twelve million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 61 97 122 183 194 244 291 366 388 549 582 732 873 1098 1164 1746 2196 3492 4751 5917 9502 11834 14253 17751 19004 23668 28506 35502 42759 53253 57012 71004 85518 106506 171036 213012 289811 460847 579622 869433 921694 1159244 1382541 1738866 1843388 2608299 2765082 3477732 4147623 5216598 5530164 8295246 10433196 16590492 28111667 56223334 84335001 112446668 168670002 253005003 337340004 506010006 1012020012