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1100201321124 = 2232174143846697
BaseRepresentation
bin10000000000101001000…
…110111110001010100100
310220011210220212221101200
4100000221012332022210
5121011203014233444
62201231524322500
7142326004633413
oct20005106761244
93804726787350
101100201321124
11394657a66594
12159287243430
137c9967059b9
143b37011147a
151d9434bb969
hex100291be2a4

1100201321124 has 72 divisors (see below), whose sum is σ = 3016477435608. Its totient is φ = 336742625280.

The previous prime is 1100201321119. The next prime is 1100201321137. The reversal of 1100201321124 is 4211231020011.

It can be written as a sum of positive squares in 4 ways, for example, as 344897798400 + 755303522724 = 587280^2 + 869082^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1100201321097 and 1100201321106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21898257 + ... + 21948440.

It is an arithmetic number, because the mean of its divisors is an integer number (41895519939).

Almost surely, 21100201321124 is an apocalyptic number.

It is an amenable number.

1100201321124 is an abundant number, since it is smaller than the sum of its proper divisors (1916276114484).

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

1100201321124 is a wasteful number, since it uses less digits than its factorization.

1100201321124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43846765 (or 43846760 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1100201321124 its reverse (4211231020011), we get a palindrome (5311432341135).

The spelling of 1100201321124 in words is "one trillion, one hundred billion, two hundred one million, three hundred twenty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 41 51 68 82 102 123 153 164 204 246 306 369 492 612 697 738 1394 1476 2091 2788 4182 6273 8364 12546 25092 43846697 87693394 131540091 175386788 263080182 394620273 526160364 745393849 789240546 1490787698 1578481092 1797714577 2236181547 2981575396 3595429154 4472363094 5393143731 6708544641 7190858308 8944726188 10786287462 13417089282 16179431193 21572574924 26834178564 30561147809 32358862386 61122295618 64717724772 91683443427 122244591236 183366886854 275050330281 366733773708 550100660562 1100201321124