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1100022001020 = 2232571683126023
BaseRepresentation
bin10000000000011110011…
…010111010110101111100
310220011100102110112110100
4100000132122322311330
5121010321113013040
62201202041041100
7142321366506315
oct20003632726574
93804312415410
101100022001020
11394575818758
12159237186190
137c96850c427
143b35439360c
151d932899b30
hex1001e6bad7c

1100022001020 has 144 divisors (see below), whose sum is σ = 3388710753792. Its totient is φ = 288781933440.

The previous prime is 1100022001019. The next prime is 1100022001021. The reversal of 1100022001020 is 201002200011.

It is an interprime number because it is at equal distance from previous prime (1100022001019) and next prime (1100022001021).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1100022000993 and 1100022001011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100022001021) 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, 8665729 + ... + 8791751.

It is an arithmetic number, because the mean of its divisors is an integer number (23532713568).

Almost surely, 21100022001020 is an apocalyptic number.

1100022001020 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 1100022001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694355376896).

1100022001020 is an abundant number, since it is smaller than the sum of its proper divisors (2288688752772).

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

1100022001020 is a wasteful number, since it uses less digits than its factorization.

1100022001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126792 (or 126787 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1100022001020 its reverse (201002200011), we get a palindrome (1301024201031).

The spelling of 1100022001020 in words is "one trillion, one hundred billion, twenty-two million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 683 710 852 1065 1278 1366 1420 2049 2130 2556 2732 3195 3415 4098 4260 6147 6390 6830 8196 10245 12294 12780 13660 20490 24588 30735 40980 48493 61470 96986 122940 126023 145479 193972 242465 252046 290958 378069 436437 484930 504092 581916 630115 727395 756138 872874 969860 1134207 1260230 1454790 1512276 1745748 1890345 2182185 2268414 2520460 2909580 3780690 4364370 4536828 5671035 7561380 8728740 8947633 11342070 17895266 22684140 26842899 35790532 44738165 53685798 80528697 86073709 89476330 107371596 134214495 161057394 172147418 178952660 258221127 268428990 322114788 344294836 402643485 430368545 516442254 536857980 774663381 805286970 860737090 1032884508 1291105635 1549326762 1610573940 1721474180 2582211270 3098653524 3873316905 5164422540 6111233339 7746633810 12222466678 15493267620 18333700017 24444933356 30556166695 36667400034 55001100051 61112333390 73334800068 91668500085 110002200102 122224666780 183337000170 220004400204 275005500255 366674000340 550011000510 1100022001020