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1123221232100 = 2252112909110211
BaseRepresentation
bin10000010110000101001…
…100111101100111100100
310222101020012220120201002
4100112011030331213210
5121400324113411400
62220000053052432
7144102316641452
oct20260514754744
93871205816632
101123221232100
113a33a0115400
12161830627118
1381bc49468b6
143c5155039d2
151e33e410ed5
hex1058533d9e4

1123221232100 has 108 divisors (see below), whose sum is σ = 2679671812944. Its totient is φ = 408359160000.

The previous prime is 1123221232037. The next prime is 1123221232109. The reversal of 1123221232100 is 12321223211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1123221232109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 109995995 + ... + 110006205.

Almost surely, 21123221232100 is an apocalyptic number.

1123221232100 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 1123221232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339835906472).

1123221232100 is an abundant number, since it is smaller than the sum of its proper divisors (1556450580844).

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

1123221232100 is a wasteful number, since it uses less digits than its factorization.

1123221232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19338 (or 19320 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1123221232100 its reverse (12321223211), we get a palindrome (1135542455311).

The spelling of 1123221232100 in words is "one trillion, one hundred twenty-three billion, two hundred twenty-one million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 9091 10211 12100 18182 20422 36364 40844 45455 51055 90910 100001 102110 112321 181820 200002 204220 224642 227275 255275 400004 449284 454550 500005 510550 561605 909100 1000010 1021100 1100011 1123210 1235531 2000020 2200022 2246420 2471062 2500025 2808025 4400044 4942124 5000050 5500055 5616050 6177655 10000100 11000110 11232100 12355310 22000220 24710620 27500275 30888275 55000550 61776550 92828201 110001100 123553100 185656402 371312804 464141005 928282010 1021110211 1856564020 2042220422 2320705025 4084440844 4641410050 5105551055 9282820100 10211102110 11232212321 20422204220 22464424642 25527755275 44928849284 51055510550 56161061605 102111021100 112322123210 224644246420 280805308025 561610616050 1123221232100