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1122240020 = 2251153109883
BaseRepresentation
bin100001011100100…
…0000011000010100
32220012200200220012
41002321000120110
54244243140040
6303205255352
736544611536
oct10271003024
92805620805
101122240020
115265255a0
12273a04558
1314b669865
14a908b856
15687ca865
hex42e40614

1122240020 has 96 divisors (see below), whose sum is σ = 2646483840. Its totient is φ = 396264960.

The previous prime is 1122240019. The next prime is 1122240037. The reversal of 1122240020 is 200422211.

It is a junction number, because it is equal to n+sod(n) for n = 1122239977 and 1122240004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1270499 + ... + 1271381.

It is an arithmetic number, because the mean of its divisors is an integer number (27567540).

Almost surely, 21122240020 is an apocalyptic number.

1122240020 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 1122240020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323241920).

1122240020 is an abundant number, since it is smaller than the sum of its proper divisors (1524243820).

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

1122240020 is a wasteful number, since it uses less digits than its factorization.

1122240020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1122240020 is about 33499.8510444450. The cubic root of 1122240020 is about 1039.1906980476.

Adding to 1122240020 its reverse (200422211), we get a palindrome (1322662231).

It can be divided in two parts, 1122 and 240020, that added together give a palindrome (241142).

The spelling of 1122240020 in words is "one billion, one hundred twenty-two million, two hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 109 110 212 218 220 265 436 530 545 583 883 1060 1090 1166 1199 1766 2180 2332 2398 2915 3532 4415 4796 5777 5830 5995 8830 9713 11554 11660 11990 17660 19426 23108 23980 28885 38852 46799 48565 57770 63547 93598 96247 97130 115540 127094 187196 192494 194260 233995 254188 317735 384988 467990 481235 514789 635470 935980 962470 1029578 1058717 1270940 1924940 2059156 2117434 2573945 4234868 5101091 5147890 5293585 10202182 10295780 10587170 20404364 21174340 25505455 51010910 56112001 102021820 112224002 224448004 280560005 561120010 1122240020