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2031132431200 = 25529728392489
BaseRepresentation
bin11101100011101000111…
…011010101001101100000
321012011201010000012220111
4131203220323111031200
5231234224400244300
64153031145021104
7266513232542425
oct35435073251540
97164633005814
102031132431200
11713442340174
12289792184794
131196c54238b2
1470443479d4c
1537c7b2469ba
hex1d8e8ed5360

2031132431200 has 144 divisors (see below), whose sum is σ = 5027376821040. Its totient is φ = 801227243520.

The previous prime is 2031132431197. The next prime is 2031132431213. The reversal of 2031132431200 is 21342311302.

It is a congruent number.

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, 21914556 + ... + 22007044.

It is an arithmetic number, because the mean of its divisors is an integer number (34912339035).

Almost surely, 22031132431200 is an apocalyptic number.

2031132431200 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 2031132431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513688410520).

2031132431200 is an abundant number, since it is smaller than the sum of its proper divisors (2996244389840).

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

2031132431200 is a wasteful number, since it uses less digits than its factorization.

2031132431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92889 (or 92876 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2031132431200 its reverse (21342311302), we get a palindrome (2052474742502).

The spelling of 2031132431200 in words is "two trillion, thirty-one billion, one hundred thirty-two million, four hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 97 100 160 194 200 283 388 400 485 566 776 800 970 1132 1415 1552 1940 2264 2425 2830 3104 3880 4528 4850 5660 7075 7760 9056 9700 11320 14150 15520 19400 22640 27451 28300 38800 45280 54902 56600 77600 92489 109804 113200 137255 184978 219608 226400 274510 369956 439216 462445 549020 686275 739912 878432 924890 1098040 1372550 1479824 1849780 2196080 2312225 2745100 2959648 3699560 4392160 4624450 5490200 7399120 8971433 9248900 10980400 14798240 17942866 18497800 21960800 26174387 35885732 36995600 44857165 52348774 71771464 73991200 89714330 104697548 130871935 143542928 179428660 209395096 224285825 261743870 287085856 358857320 418790192 448571650 523487740 654359675 717714640 837580384 897143300 1046975480 1308719350 1435429280 1794286600 2093950960 2538915539 2617438700 3588573200 4187901920 5077831078 5234877400 7177146400 10155662156 10469754800 12694577695 20311324312 20939509600 25389155390 40622648624 50778310780 63472888475 81245297248 101556621560 126945776950 203113243120 253891553900 406226486240 507783107800 1015566215600 2031132431200