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1000020111012 = 2232132591824699
BaseRepresentation
bin11101000110101011101…
…01111110111010100100
310112121020010021011121100
432203111311332322210
5112341020122023022
62043223005320100
7132151300456506
oct16432565767244
93477203234540
101000020111012
1135611931166a
12141988866030
13733bc4ba650
1436588d9dd76
151b02d3da1ac
hexe8d5d7eea4

1000020111012 has 72 divisors (see below), whose sum is σ = 2723330937600. Its totient is φ = 307579366080.

The previous prime is 1000020111011. The next prime is 1000020111019. The reversal of 1000020111012 is 2101110200001.

It is a happy number.

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 = 1000020110985 and 1000020111003.

It is not an unprimeable number, because it can be changed into a prime (1000020111011) 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, 800239 + ... + 1624937.

It is an arithmetic number, because the mean of its divisors is an integer number (37824040800).

Almost surely, 21000020111012 is an apocalyptic number.

1000020111012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000020111012 is an abundant number, since it is smaller than the sum of its proper divisors (1723310826588).

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

1000020111012 is a wasteful number, since it uses less digits than its factorization.

1000020111012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827313 (or 827308 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1000020111012 its reverse (2101110200001), we get a palindrome (3101130311013).

The spelling of 1000020111012 in words is "one trillion, twenty million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 2591 5182 7773 10364 15546 23319 31092 33683 46638 67366 93276 101049 134732 202098 303147 404196 606294 824699 1212588 1649398 2474097 3298796 4948194 7422291 9896388 10721087 14844582 21442174 29689164 32163261 42884348 64326522 96489783 128653044 192979566 385959132 2136795109 4273590218 6410385327 8547180436 12820770654 19231155981 25641541308 27778336417 38462311962 55556672834 76924623924 83335009251 111113345668 166670018502 250005027753 333340037004 500010055506 1000020111012