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10401331124220 = 22351637552119181
BaseRepresentation
bin1001011101011011111110…
…1001011001011111111100
31100211100122122112201222020
42113112333221121133330
52330403411231433340
634042145555520140
72122320452536041
oct227267751313774
940740578481866
1010401331124220
1133501a8291783
1211bba208b9050
135a5ac24ab41a
1427d5d9dd51c8
151308686289d0
hex975bfa597fc

10401331124220 has 96 divisors (see below), whose sum is σ = 29148315932736. Its totient is φ = 2771347353600.

The previous prime is 10401331124213. The next prime is 10401331124221. The reversal of 10401331124220 is 2242113310401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10401331124221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 542263030 + ... + 542282210.

It is an arithmetic number, because the mean of its divisors is an integer number (303628290966).

Almost surely, 210401331124220 is an apocalyptic number.

10401331124220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10401331124220 is an abundant number, since it is smaller than the sum of its proper divisors (18746984808516).

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

10401331124220 is a wasteful number, since it uses less digits than its factorization.

10401331124220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26351 (or 26349 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10401331124220 its reverse (2242113310401), we get a palindrome (12643444434621).

The spelling of 10401331124220 in words is "ten trillion, four hundred one billion, three hundred thirty-one million, one hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1637 3274 4911 5521 6548 8185 9822 11042 16370 16563 19181 19644 22084 24555 27605 32740 33126 38362 49110 55210 57543 66252 76724 82815 95905 98220 110420 115086 165630 191810 230172 287715 331260 383620 575430 1150860 9037877 18075754 27113631 31399297 36151508 45189385 54227262 62798594 90378770 94197891 105898301 108454524 125597188 135568155 156996485 180757540 188395782 211796602 271136310 313992970 317694903 376791564 423593204 470989455 529491505 542272620 627985940 635389806 941978910 1058983010 1270779612 1588474515 1883957820 2117966020 3176949030 6353898060 173355518737 346711037474 520066556211 693422074948 866777593685 1040133112422 1733555187370 2080266224844 2600332781055 3467110374740 5200665562110 10401331124220