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2112202111420 = 2251913748783311
BaseRepresentation
bin11110101111001001000…
…011100111100110111100
321110220221222220200022101
4132233021003213212330
5234101242220031140
64254155433354444
7305413223500312
oct36571103474674
97426858820271
102112202111420
11744864032895
122a1438268a24
1312424505198b
14743343000b2
1539e235ac99a
hex1ebc90e79bc

2112202111420 has 96 divisors (see below), whose sum is σ = 4712873195520. Its totient is φ = 792929917440.

The previous prime is 2112202111399. The next prime is 2112202111421. The reversal of 2112202111420 is 241112022112.

It is a super-2 number, since 2×21122021114202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112202111421) 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, 25311565 + ... + 25394875.

It is an arithmetic number, because the mean of its divisors is an integer number (49092429120).

Almost surely, 22112202111420 is an apocalyptic number.

2112202111420 is a gapful number since it is divisible by the number (20) 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 2112202111420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356436597760).

2112202111420 is an abundant number, since it is smaller than the sum of its proper divisors (2600671084100).

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

2112202111420 is a wasteful number, since it uses less digits than its factorization.

2112202111420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83963 (or 83961 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 2112202111420 its reverse (241112022112), we get a palindrome (2353314133532).

The spelling of 2112202111420 in words is "two trillion, one hundred twelve billion, two hundred two million, one hundred eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 137 190 274 380 487 548 685 974 1370 1948 2435 2603 2740 4870 5206 9253 9740 10412 13015 18506 26030 37012 46265 52060 66719 83311 92530 133438 166622 185060 266876 333244 333595 416555 667190 833110 1267661 1334380 1582909 1666220 2535322 3165818 5070644 6331636 6338305 7914545 11413607 12676610 15829090 22827214 25353220 31658180 40572457 45654428 57068035 81144914 114136070 162289828 202862285 216858533 228272140 405724570 433717066 770876683 811449140 867434132 1084292665 1541753366 2168585330 3083506732 3854383415 4337170660 5558426609 7708766830 11116853218 15417533660 22233706436 27792133045 55584266090 105610105571 111168532180 211220211142 422440422284 528050527855 1056101055710 2112202111420