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1122102200010 = 235116757438837
BaseRepresentation
bin10000010101000010100…
…000001100011011001010
310222021100020020212021010
4100111002200030123022
5121341031130400020
62215253040224350
7144032511220311
oct20250240143312
93867306225233
101122102200010
113a2976490aa0
1216157990b0b6
1381a76b6122c
143c44aa4d278
151e2c606ade0
hex1054280c6ca

1122102200010 has 128 divisors (see below), whose sum is σ = 2982573010944. Its totient is φ = 267887727360.

The previous prime is 1122102199987. The next prime is 1122102200017. The reversal of 1122102200010 is 100022012211.

It is a super-2 number, since 2×11221022000102 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1122102200017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126973312 + ... + 126982148.

It is an arithmetic number, because the mean of its divisors is an integer number (23301351648).

Almost surely, 21122102200010 is an apocalyptic number.

1122102200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122102200010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491286505472).

1122102200010 is an abundant number, since it is smaller than the sum of its proper divisors (1860470810934).

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

1122102200010 is a wasteful number, since it uses less digits than its factorization.

1122102200010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14668.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1122102200010 its reverse (100022012211), we get a palindrome (1222124212221).

The spelling of 1122102200010 in words is "one trillion, one hundred twenty-two billion, one hundred two million, two hundred thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 67 110 134 165 201 330 335 402 670 737 1005 1474 2010 2211 3685 4422 5743 7370 8837 11055 11486 17229 17674 22110 26511 28715 34458 44185 53022 57430 63173 86145 88370 97207 126346 132555 172290 189519 194414 265110 291621 315865 379038 384781 486035 583242 592079 631730 769562 947595 972070 1154343 1184158 1458105 1776237 1895190 1923905 2308686 2916210 2960395 3552474 3847810 4232591 5771715 5920790 6512869 8465182 8881185 11543430 12697773 13025738 17762370 19538607 21162955 25395546 32564345 39077214 42325910 50750891 63488865 65128690 97693035 101501782 126977730 152252673 195386070 253754455 304505346 507508910 558259801 761263365 1116519602 1522526730 1674779403 2791299005 3349558806 3400309697 5582598010 6800619394 8373897015 10200929091 16747794030 17001548485 20401858182 34003096970 37403406667 51004645455 74806813334 102009290910 112210220001 187017033335 224420440002 374034066670 561051100005 1122102200010