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1222002100 = 2252111959991
BaseRepresentation
bin100100011010110…
…0100010110110100
310011011102010202001
41020311210112310
510000313031400
6321131425044
742165563224
oct11065442664
93134363661
101222002100
115778742a0
122a12b5184
13166228c87
14b841a084
1572434a6a
hex48d645b4

1222002100 has 144 divisors (see below), whose sum is σ = 3099801600. Its totient is φ = 413424000.

The previous prime is 1222002091. The next prime is 1222002107. The reversal of 1222002100 is 12002221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222002107) 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, 1232605 + ... + 1233595.

It is an arithmetic number, because the mean of its divisors is an integer number (21526400).

Almost surely, 21222002100 is an apocalyptic number.

1222002100 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 1222002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549900800).

1222002100 is an abundant number, since it is smaller than the sum of its proper divisors (1877799500).

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

1222002100 is a wasteful number, since it uses less digits than its factorization.

1222002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1222002100 is about 34957.1466226865. The cubic root of 1222002100 is about 1069.1139198190.

Adding to 1222002100 its reverse (12002221), we get a palindrome (1234004321).

The spelling of 1222002100 in words is "one billion, two hundred twenty-two million, two thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 59 76 95 100 110 118 190 209 220 236 275 295 380 418 475 550 590 649 836 950 991 1045 1100 1121 1180 1298 1475 1900 1982 2090 2242 2596 2950 3245 3964 4180 4484 4955 5225 5605 5900 6490 9910 10450 10901 11210 12331 12980 16225 18829 19820 20900 21802 22420 24662 24775 28025 32450 37658 43604 49324 49550 54505 56050 58469 61655 64900 75316 94145 99100 109010 112100 116938 123310 188290 207119 218020 233876 246620 272525 292345 308275 376580 414238 470725 545050 584690 616550 643159 828476 941450 1035595 1090100 1110911 1169380 1233100 1286318 1461725 1882900 2071190 2221822 2572636 2923450 3215795 4142380 4443644 5177975 5554555 5846900 6431590 10355950 11109110 12220021 12863180 16078975 20711900 22218220 24440042 27772775 32157950 48880084 55545550 61100105 64315900 111091100 122200210 244400420 305500525 611001050 1222002100