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101022310220240 = 24521372683220243
BaseRepresentation
bin10110111110000100010110…
…111010100100000111010000
3111020200122020111100120102002
4112332010112322210013100
5101220122142404021430
6554505001510413132
730164423010504203
oct2676042672440720
9436618214316362
10101022310220240
112a209359522812
12b3b69733611a8
13444a4945cc426
141ad37122ad93a
15ba2c4e9e1845
hex5be116ea41d0

101022310220240 has 80 divisors (see below), whose sum is σ = 235075431822528. Its totient is φ = 40374777535488.

The previous prime is 101022310220207. The next prime is 101022310220261. The reversal of 101022310220240 is 42022013220101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 458575559 + ... + 458795801.

Almost surely, 2101022310220240 is an apocalyptic number.

101022310220240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022310220240 is an abundant number, since it is smaller than the sum of its proper divisors (134053121602288).

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

101022310220240 is a wasteful number, since it uses less digits than its factorization.

101022310220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225076 (or 225070 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 101022310220240 its reverse (42022013220101), we get a palindrome (143044323440341).

The spelling of 101022310220240 in words is "one hundred one trillion, twenty-two billion, three hundred ten million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2137 2683 4274 5366 8548 10685 10732 13415 17096 21370 21464 26830 34192 42740 42928 53660 85480 107320 170960 214640 220243 440486 880972 1101215 1761944 2202430 3523888 4404860 5733571 8809720 11467142 17619440 22934284 28667855 45868568 57335710 91737136 114671420 229342840 458685680 470659291 590911969 941318582 1181823938 1882637164 2353296455 2363647876 2954559845 3765274328 4706592910 4727295752 5909119690 7530548656 9413185820 9454591504 11818239380 18826371640 23636478760 37652743280 47272957520 1262778877753 2525557755506 5051115511012 6313894388765 10102231022024 12627788777530 20204462044048 25255577555060 50511155110120 101022310220240