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101001220202200 = 23523176659239237
BaseRepresentation
bin10110111101110000101101…
…110110100001111011011000
3111020121121210200202122111211
4112331300231312201323120
5101214300444332432300
6554451153042232504
730163045251350143
oct2675605566417330
9436547720678454
10101001220202200
112a20041678703a
12b3b2868355734
1344484b315a406
141ad26b132705a
15ba24182124ba
hex5bdc2dda1ed8

101001220202200 has 96 divisors (see below), whose sum is σ = 235604979579600. Its totient is φ = 40266825520640.

The previous prime is 101001220202147. The next prime is 101001220202209. The reversal of 101001220202200 is 2202022100101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001220202209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 422060982 + ... + 422300218.

Almost surely, 2101001220202200 is an apocalyptic number.

101001220202200 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 101001220202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117802489789800).

101001220202200 is an abundant number, since it is smaller than the sum of its proper divisors (134603759377400).

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

101001220202200 is a wasteful number, since it uses less digits than its factorization.

101001220202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246229 (or 246220 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 101001220202200 its reverse (2202022100101), we get a palindrome (103203242302301).

The spelling of 101001220202200 in words is "one hundred one trillion, one billion, two hundred twenty million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 317 634 1268 1585 2536 3170 6340 6659 7925 12680 13318 15850 26636 31700 33295 53272 63400 66590 133180 166475 239237 266360 332950 478474 665900 956948 1196185 1331800 1913896 2110903 2392370 4221806 4784740 5980925 8443612 9569480 10554515 11961850 16887224 21109030 23923700 42218060 47847400 52772575 75838129 84436120 105545150 151676258 211090300 303352516 379190645 422180600 606705032 758381290 1516762580 1593079183 1895953225 3033525160 3186158366 3791906450 6372316732 7583812900 7965395915 12744633464 15167625800 15930791830 31861583660 39826979575 63723167320 79653959150 159307918300 318615836600 505006101011 1010012202022 2020024404044 2525030505055 4040048808088 5050061010110 10100122020220 12625152525275 20200244040440 25250305050550 50500610101100 101001220202200