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1122102220100 = 2252163541127247
BaseRepresentation
bin10000010101000010100…
…000010001010101000100
310222021100020021212211012
4100111002200101111010
5121341031132020400
62215253040501352
7144032511333011
oct20250240212504
93867306255735
101122102220100
113a29764a50a4
1216157991a858
1381a76b6a414
143c44aa56708
151e2c6071d35
hex10542811544

1122102220100 has 72 divisors (see below), whose sum is σ = 2454447988608. Its totient is φ = 445259203200.

The previous prime is 1122102220093. The next prime is 1122102220103. The reversal of 1122102220100 is 10222012211.

It is a super-2 number, since 2×11221022201002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1122102220103) 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, 8754677 + ... + 8881923.

Almost surely, 21122102220100 is an apocalyptic number.

1122102220100 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 1122102220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227223994304).

1122102220100 is an abundant number, since it is smaller than the sum of its proper divisors (1332345768508).

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

1122102220100 is a wasteful number, since it uses less digits than its factorization.

1122102220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127965 (or 127958 counting only the distinct ones).

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

Adding to 1122102220100 its reverse (10222012211), we get a palindrome (1132324232311).

The spelling of 1122102220100 in words is "one trillion, one hundred twenty-two billion, one hundred two million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 163 326 541 652 815 1082 1630 2164 2705 3260 4075 5410 8150 10820 13525 16300 27050 54100 88183 127247 176366 254494 352732 440915 508988 636235 881830 1272470 1763660 2204575 2544940 3181175 4409150 6362350 8818300 12724700 20741261 41482522 68840627 82965044 103706305 137681254 207412610 275362508 344203135 414825220 518531525 688406270 1037063050 1376812540 1721015675 2074126100 3442031350 6884062700 11221022201 22442044402 44884088804 56105111005 112210222010 224420444020 280525555025 561051110050 1122102220100