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1022000202013 = 73113379471471
BaseRepresentation
bin11101101111100111111…
…01011000000100011101
310121200221221200111001211
432313303331120010131
5113221024022431023
62101300031104421
7133560055245460
oct16676375300435
93550857614054
101022000202013
1136447851a32a
121460a1972111
13754b318b75b
143767223b2d7
151b8b7dd4a0d
hexedf3f5811d

1022000202013 has 32 divisors (see below), whose sum is σ = 1177273663488. Its totient is φ = 869081875200.

The previous prime is 1022000202007. The next prime is 1022000202059. The reversal of 1022000202013 is 3102020002201.

It is not a de Polignac number, because 1022000202013 - 233 = 1013410267421 is a prime.

It is a super-2 number, since 2×10220002020132 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1022000201984 and 1022000202002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022000202073) 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, 694764868 + ... + 694766338.

It is an arithmetic number, because the mean of its divisors is an integer number (36789801984).

Almost surely, 21022000202013 is an apocalyptic number.

It is an amenable number.

1022000202013 is a deficient number, since it is larger than the sum of its proper divisors (155273461475).

1022000202013 is a wasteful number, since it uses less digits than its factorization.

1022000202013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3073.

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 1022000202013 its reverse (3102020002201), we get a palindrome (4124020204214).

The spelling of 1022000202013 in words is "one trillion, twenty-two billion, two hundred two thousand, thirteen".

Divisors: 1 7 311 337 947 1471 2177 2359 6629 10297 104807 294517 319139 457481 495727 733649 1393037 2061619 2233973 3202367 3470089 9751259 99252229 154171097 433234507 469453469 694765603 1079197679 3032641549 3286174283 146000028859 1022000202013