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2231030221120 = 26561386329587
BaseRepresentation
bin100000011101110011110…
…000111000100101000000
321220021200022222002112101
4200131303300320211000
5243023122214033440
64424530544240144
7320121002661031
oct40356360704500
97807608862471
102231030221120
117901a1440428
1230047b610054
1313250150731c
1479da7b52a88
153d07a72b69a
hex20773c38940

2231030221120 has 112 divisors (see below), whose sum is σ = 5401313543808. Its totient is φ = 877525493760.

The previous prime is 2231030221097. The next prime is 2231030221129. The reversal of 2231030221120 is 211220301322.

It is a super-3 number, since 3×22310302211203 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231030221129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75390967 + ... + 75420553.

It is an arithmetic number, because the mean of its divisors is an integer number (48226013784).

Almost surely, 22231030221120 is an apocalyptic number.

2231030221120 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 2231030221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700656771904).

2231030221120 is an abundant number, since it is smaller than the sum of its proper divisors (3170283322688).

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

2231030221120 is a wasteful number, since it uses less digits than its factorization.

2231030221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33528 (or 33518 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 2231030221120 its reverse (211220301322), we get a palindrome (2442250522442).

The spelling of 2231030221120 in words is "two trillion, two hundred thirty-one billion, thirty million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 160 244 305 320 488 610 976 1220 1952 2440 3863 3904 4880 7726 9760 15452 19315 19520 29587 30904 38630 59174 61808 77260 118348 123616 147935 154520 235643 236696 247232 295870 309040 471286 473392 591740 618080 942572 946784 1178215 1183480 1236160 1804807 1885144 1893568 2356430 2366960 3609614 3770288 4712860 4733920 7219228 7540576 9024035 9425720 9467840 14438456 15081152 18048070 18851440 28876912 36096140 37702880 57753824 72192280 75405760 114294581 115507648 144384560 228589162 288769120 457178324 571472905 577538240 914356648 1142945810 1828713296 2285891620 3657426592 4571783240 6971969441 7314853184 9143566480 13943938882 18287132960 27887877764 34859847205 36574265920 55775755528 69719694410 111551511056 139439388820 223103022112 278878777640 446206044224 557757555280 1115515110560 2231030221120