Search a number
-
+
2121045232400 = 2452191069261071
BaseRepresentation
bin11110110111011000001…
…001011100101100010000
321111202210021210202202122
4132313120021130230100
5234222400034414100
64302221132233412
7306145323001163
oct36673011345420
97452707722678
102121045232400
11748591813536
122a30a590b868
13125024164c43
1474932959ada
153a28eaeb985
hex1edd825cb10

2121045232400 has 120 divisors (see below), whose sum is σ = 5369050108800. Its totient is φ = 803009548800.

The previous prime is 2121045232399. The next prime is 2121045232433. The reversal of 2121045232400 is 42325401212.

It is a self number, because there is not a number n which added to its sum of digits gives 2121045232400.

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, 7993865 + ... + 8254935.

It is an arithmetic number, because the mean of its divisors is an integer number (44742084240).

Almost surely, 22121045232400 is an apocalyptic number.

2121045232400 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 2121045232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684525054400).

2121045232400 is an abundant number, since it is smaller than the sum of its proper divisors (3248004876400).

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

2121045232400 is a wasteful number, since it uses less digits than its factorization.

2121045232400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262177 (or 262166 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The spelling of 2121045232400 in words is "two trillion, one hundred twenty-one billion, forty-five million, two hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 950 1069 1520 1900 2138 3800 4276 5345 7600 8552 10690 17104 20311 21380 26725 40622 42760 53450 81244 85520 101555 106900 162488 203110 213800 261071 324976 406220 427600 507775 522142 812440 1015550 1044284 1305355 1624880 2031100 2088568 2610710 4062200 4177136 4960349 5221420 6526775 8124400 9920698 10442840 13053550 19841396 20885680 24801745 26107100 39682792 49603490 52214200 79365584 99206980 104428400 124008725 198413960 248017450 279084899 396827920 496034900 558169798 992069800 1116339596 1395424495 1984139600 2232679192 2790848990 4465358384 5302613081 5581697980 6977122475 10605226162 11163395960 13954244950 21210452324 22326791920 26513065405 27908489900 42420904648 53026130810 55816979800 84841809296 106052261620 111633959600 132565327025 212104523240 265130654050 424209046480 530261308100 1060522616200 2121045232400