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1122210222100 = 2252111967801407
BaseRepresentation
bin10000010101001000111…
…100010001000000010100
310222021121202111221201021
4100111020330101000110
5121341241304101400
62215311455410524
7144035262333442
oct20251074210024
93867552457637
101122210222100
113a2a21461650
121615a9b23a44
1381a93353226
143c45b12bb92
151e2d07a771a
hex10548f11014

1122210222100 has 144 divisors (see below), whose sum is σ = 2838138347520. Its totient is φ = 380828131200.

The previous prime is 1122210222097. The next prime is 1122210222127. The reversal of 1122210222100 is 12220122211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 999597 + ... + 1801003.

It is an arithmetic number, because the mean of its divisors is an integer number (19709294080).

Almost surely, 21122210222100 is an apocalyptic number.

1122210222100 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 1122210222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419069173760).

1122210222100 is an abundant number, since it is smaller than the sum of its proper divisors (1715928125420).

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

1122210222100 is a wasteful number, since it uses less digits than its factorization.

1122210222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801518 (or 801511 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1122210222100 its reverse (12220122211), we get a palindrome (1134430344311).

The spelling of 1122210222100 in words is "one trillion, one hundred twenty-two billion, two hundred ten million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 67 76 95 100 110 134 190 209 220 268 275 335 380 418 475 550 670 737 836 950 1045 1100 1273 1340 1474 1675 1900 2090 2546 2948 3350 3685 4180 5092 5225 6365 6700 7370 10450 12730 14003 14740 18425 20900 25460 28006 31825 36850 56012 63650 70015 73700 127300 140030 280060 350075 700150 801407 1400300 1602814 3205628 4007035 8014070 8815477 15226733 16028140 17630954 20035175 30453466 35261908 40070350 44077385 53694269 60906932 76133665 80140700 88154770 107388538 152267330 167494063 176309540 214777076 220386925 268471345 304534660 334988126 380668325 440773850 536942690 590636959 669976252 761336650 837470315 881547700 1020191111 1073885380 1181273918 1342356725 1522673300 1674940630 2040382222 2362547836 2684713450 2953184795 3349881260 4080764444 4187351575 5100955555 5369426900 5906369590 8374703150 10201911110 11222102221 11812739180 14765923975 16749406300 20403822220 22444204442 25504777775 29531847950 44888408884 51009555550 56110511105 59063695900 102019111100 112221022210 224442044420 280552555525 561105111050 1122210222100