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2201132313100 = 2252724123715503
BaseRepresentation
bin100000000001111101101…
…101011010101000001100
321210102111200210000000201
4200001331231122220030
5242030404333004400
64403104120303244
7315012052646320
oct40017555325014
97712450700021
102201132313100
11779549897636
122b6716911b24
1312c748338ca6
147876d0c1980
153c3caa6c06a
hex2007db5aa0c

2201132313100 has 144 divisors (see below), whose sum is σ = 5484767174656. Its totient is φ = 751089024000.

The previous prime is 2201132313049. The next prime is 2201132313161. The reversal of 2201132313100 is 13132311022.

It is a super-2 number, since 2×22011323131002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399984949 + ... + 399990451.

Almost surely, 22201132313100 is an apocalyptic number.

2201132313100 is a gapful number since it is divisible by the number (20) 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 2201132313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742383587328).

2201132313100 is an abundant number, since it is smaller than the sum of its proper divisors (3283634861556).

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

2201132313100 is a wasteful number, since it uses less digits than its factorization.

2201132313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8136 (or 8129 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 2201132313100 its reverse (13132311022), we get a palindrome (2214264624122).

The spelling of 2201132313100 in words is "two trillion, two hundred one billion, one hundred thirty-two million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 241 350 482 700 964 1205 1687 2371 2410 3374 4742 4820 5503 6025 6748 8435 9484 11006 11855 12050 16597 16870 22012 23710 24100 27515 33194 33740 38521 42175 47420 55030 59275 66388 77042 82985 84350 110060 118550 137575 154084 165970 168700 192605 237100 275150 331940 385210 414925 550300 571411 770420 829850 963025 1142822 1326223 1659700 1926050 2285644 2652446 2857055 3852100 3999877 5304892 5714110 6631115 7999754 9283561 11428220 13047613 13262230 14285275 15999508 18567122 19999385 26095226 26524460 28570550 33155575 37134244 39998770 46417805 52190452 57141100 65238065 66311150 79997540 91333291 92835610 99996925 130476130 132622300 182666582 185671220 199993850 232089025 260952260 326190325 365333164 399987700 456666455 464178050 652380650 913332910 928356100 1304761300 1826665820 2283332275 3144474733 4566664550 6288949466 9133329100 12577898932 15722373665 22011323131 31444747330 44022646262 62889494660 78611868325 88045292524 110056615655 157223736650 220113231310 314447473300 440226462620 550283078275 1100566156550 2201132313100