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100101203220 = 223519263333871
BaseRepresentation
bin101110100111001111…
…1110010010100010100
3100120101020001222222010
41131032133302110110
53120001402000340
6113552540104220
710142413121424
oct1351637622424
9316336058863
10100101203220
11394a8579627
1217497835070
139593784ac5
144bb8686484
15290d07ab80
hex174e7f2514

100101203220 has 96 divisors (see below), whose sum is σ = 296157818880. Its totient is φ = 25192494720.

The previous prime is 100101203197. The next prime is 100101203227. The reversal of 100101203220 is 22302101001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100101203196 and 100101203205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101203227) 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, 132885 + ... + 466755.

It is an arithmetic number, because the mean of its divisors is an integer number (3084977280).

Almost surely, 2100101203220 is an apocalyptic number.

100101203220 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 100101203220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148078909440).

100101203220 is an abundant number, since it is smaller than the sum of its proper divisors (196056615660).

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

100101203220 is a wasteful number, since it uses less digits than its factorization.

100101203220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334165 (or 334163 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100101203220 its reverse (22302101001), we get a palindrome (122403304221).

The spelling of 100101203220 in words is "one hundred billion, one hundred one million, two hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 263 285 380 526 570 789 1052 1140 1315 1578 2630 3156 3945 4997 5260 7890 9994 14991 15780 19988 24985 29982 49970 59964 74955 99940 149910 299820 333871 667742 1001613 1335484 1669355 2003226 3338710 4006452 5008065 6343549 6677420 10016130 12687098 19030647 20032260 25374196 31717745 38061294 63435490 76122588 87808073 95153235 126870980 175616146 190306470 263424219 351232292 380612940 439040365 526848438 878080730 1053696876 1317121095 1668353387 1756161460 2634242190 3336706774 5005060161 5268484380 6673413548 8341766935 10010120322 16683533870 20020240644 25025300805 33367067740 50050601610 100101203220