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1001002022012 = 2219235335930097
BaseRepresentation
bin11101001000100000101…
…11101011010001111100
310112200202112220102021102
432210100113223101330
5112400023004201022
62043504243152232
7132214522541006
oct16442027532174
93480675812242
101001002022012
113565825aa963
12142001675678
1373517a63185
143663d55d376
151b0896e6a92
hexe9105eb47c

1001002022012 has 96 divisors (see below), whose sum is σ = 1965953203200. Its totient is φ = 443731571712.

The previous prime is 1001002022003. The next prime is 1001002022051. The reversal of 1001002022012 is 2102202001001.

It is a happy number.

1001002022012 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 2×10010020220122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001002021984 and 1001002022002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33244148 + ... + 33274244.

It is an arithmetic number, because the mean of its divisors is an integer number (20478679200).

Almost surely, 21001002022012 is an apocalyptic number.

It is an amenable number.

1001002022012 is a deficient number, since it is larger than the sum of its proper divisors (964951181188).

1001002022012 is a wasteful number, since it uses less digits than its factorization.

1001002022012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30555 (or 30553 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1001002022012 its reverse (2102202001001), we get a palindrome (3103204023013).

The spelling of 1001002022012 in words is "one trillion, one billion, two million, twenty-two thousand, twelve".

Divisors: 1 2 4 19 23 38 46 53 76 92 106 212 359 437 718 874 1007 1219 1436 1748 2014 2438 4028 4876 6821 8257 13642 16514 19027 23161 27284 30097 33028 38054 46322 60194 76108 92644 120388 156883 313766 361513 437621 571843 627532 692231 723026 875242 1143686 1384462 1446052 1595141 1750484 2287372 2768924 3190282 6380564 8314799 10804823 13152389 16629598 21609646 26304778 30307679 33259196 36688243 43219292 52609556 60615358 73376486 121230716 146752972 205291637 248510929 410583274 497021858 572655619 697076617 821166548 994043716 1145311238 1394153234 2290622476 2788306468 4721707651 9443415302 10880456761 13171079237 18886830604 21760913522 26342158474 43521827044 52684316948 250250505503 500501011006 1001002022012