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20112202210100 = 225271113200921101
BaseRepresentation
bin1001001001010101111001…
…01010110001101100110100
32122012201002221201100100212
410210222330222301230310
510114004242231210400
6110435230152524552
74144026056044640
oct444527452615464
978181087640325
1020112202210100
11645459a9071a0
122309a679b0758
13b2b759b07230
144d7615ad5c20
1524d270485335
hex124abcab1b34

20112202210100 has 144 divisors (see below), whose sum is σ = 58598237556096. Its totient is φ = 5786527680000.

The previous prime is 20112202210091. The next prime is 20112202210103. The reversal of 20112202210100 is 101220221102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20112202210103) 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, 100360451 + ... + 100560650.

Almost surely, 220112202210100 is an apocalyptic number.

20112202210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20112202210100 is an abundant number, since it is smaller than the sum of its proper divisors (38486035345996).

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

20112202210100 is a wasteful number, since it uses less digits than its factorization.

20112202210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200921146 (or 200921139 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20112202210100 its reverse (101220221102), we get a palindrome (20213422431202).

It can be divided in two parts, 20112202 and 210100, that added together give a palindrome (20322302).

The spelling of 20112202210100 in words is "twenty trillion, one hundred twelve billion, two hundred two million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 550 572 650 700 715 770 910 1001 1100 1300 1430 1540 1820 1925 2002 2275 2860 3575 3850 4004 4550 5005 7150 7700 9100 10010 14300 20020 25025 50050 100100 200921101 401842202 803684404 1004605505 1406447707 2009211010 2210132111 2611974313 2812895414 4018422020 4420264222 5023027525 5223948626 5625790828 7032238535 8840528444 10046055050 10447897252 11050660555 13059871565 14064477070 15470924777 18283820191 20092110100 22101321110 26119743130 28128954140 28731717443 30941849554 35161192675 36567640382 44202642220 52239486260 55253302775 57463434886 61883699108 65299357825 70322385350 73135280764 77354623885 91419100955 110506605550 114926869772 130598715650 140644770700 143658587215 154709247770 182838201910 201122022101 221013211100 261197431300 287317174430 309418495540 365676403820 386773119425 402244044202 457095504775 574634348860 718292936075 773546238850 804488088404 914191009550 1005610110505 1436585872150 1547092477700 1828382019100 2011220221010 2873171744300 4022440442020 5028050552525 10056101105050 20112202210100