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100220011311 = 3717292333803
BaseRepresentation
bin101110101010110010…
…1000000001100101111
3100120200111122002000210
41131111211000030233
53120222310330221
6114012422353503
710145355016620
oct1352545001457
9316614562023
10100220011311
1139559646932
121750b58b893
1395b2282354
144bca371a47
1529186e8276
hex175594032f

100220011311 has 48 divisors (see below), whose sum is σ = 167468131584. Its totient is φ = 52041067008.

The previous prime is 100220011301. The next prime is 100220011313. The reversal of 100220011311 is 113110022001.

It is not a de Polignac number, because 100220011311 - 26 = 100220011247 is a prime.

It is a super-4 number, since 4×1002200113114 (a number of 45 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220011313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133336 + ... + 467138.

It is an arithmetic number, because the mean of its divisors is an integer number (3488919408).

Almost surely, 2100220011311 is an apocalyptic number.

100220011311 is a deficient number, since it is larger than the sum of its proper divisors (67248120273).

100220011311 is a wasteful number, since it uses less digits than its factorization.

100220011311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333888 (or 333859 counting only the distinct ones).

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

Adding to 100220011311 its reverse (113110022001), we get a palindrome (213330033312).

The spelling of 100220011311 in words is "one hundred billion, two hundred twenty million, eleven thousand, three hundred eleven".

Divisors: 1 3 7 17 21 29 51 87 119 203 357 493 609 841 1479 2523 3451 5887 10353 14297 17661 42891 100079 300237 333803 1001409 2336621 5674651 7009863 9680287 17023953 29040861 39722557 67762009 119167671 164564879 203286027 280728323 493694637 842184969 1151954153 1965098261 3455862459 4772381491 5895294783 14317144473 33406670437 100220011311