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100122011320 = 23547197270337
BaseRepresentation
bin101110100111110111…
…1001010011010111000
3100120102200020011022111
41131033233022122320
53120022213330240
6113555002102104
710143055024432
oct1351757123270
9316380204274
10100122011320
11395092a1001
12174a27aa934
139597b8bca6
144bbb341652
15290ecdb1ea
hex174fbca6b8

100122011320 has 64 divisors (see below), whose sum is σ = 231236311680. Its totient is φ = 38997590016.

The previous prime is 100122011261. The next prime is 100122011323. The reversal of 100122011320 is 23110221001.

It is a self number, because there is not a number n which added to its sum of digits gives 100122011320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122011323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235192 + ... + 505528.

It is an arithmetic number, because the mean of its divisors is an integer number (3613067370).

Almost surely, 2100122011320 is an apocalyptic number.

100122011320 is a gapful number since it is divisible by the number (10) 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 100122011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115618155840).

100122011320 is an abundant number, since it is smaller than the sum of its proper divisors (131114300360).

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

100122011320 is a wasteful number, since it uses less digits than its factorization.

100122011320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270592 (or 270588 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 100122011320 its reverse (23110221001), we get a palindrome (123232232321).

The spelling of 100122011320 in words is "one hundred billion, one hundred twenty-two million, eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 197 235 376 394 470 788 940 985 1576 1880 1970 3940 7880 9259 18518 37036 46295 74072 92590 185180 270337 370360 540674 1081348 1351685 2162696 2703370 5406740 10813480 12705839 25411678 50823356 53256389 63529195 101646712 106512778 127058390 213025556 254116780 266281945 426051112 508233560 532563890 1065127780 2130255560 2503050283 5006100566 10012201132 12515251415 20024402264 25030502830 50061005660 100122011320