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1321202120200 = 235229461494129
BaseRepresentation
bin10011001110011101110…
…010000111011000001000
311200022020211212202101021
4103032131302013120020
5133121310220321300
62450541334402224
7164311422504034
oct23163562073010
94608224782337
101321202120200
1146a356175986
12194083b00374
13977868595b1
1447d373931c4
152457a499d1a
hex1339dc87608

1321202120200 has 96 divisors (see below), whose sum is σ = 3184618437000. Its totient is φ = 509149491200.

The previous prime is 1321202120197. The next prime is 1321202120219. The reversal of 1321202120200 is 20212021231.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 39683030436 + 1281519089764 = 199206^2 + 1132042^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2426736 + ... + 2920864.

Almost surely, 21321202120200 is an apocalyptic number.

1321202120200 is a gapful number since it is divisible by the number (10) 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 1321202120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592309218500).

1321202120200 is an abundant number, since it is smaller than the sum of its proper divisors (1863416316800).

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

1321202120200 is a wasteful number, since it uses less digits than its factorization.

1321202120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494635 (or 494626 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1321202120200 its reverse (20212021231), we get a palindrome (1341414141431).

The spelling of 1321202120200 in words is "one trillion, three hundred twenty-one billion, two hundred two million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 461 580 725 922 1160 1450 1844 2305 2900 3688 4610 5800 9220 11525 13369 18440 23050 26738 46100 53476 66845 92200 106952 133690 267380 334225 494129 534760 668450 988258 1336900 1976516 2470645 2673800 3953032 4941290 9882580 12353225 14329741 19765160 24706450 28659482 49412900 57318964 71648705 98825800 114637928 143297410 227793469 286594820 358243525 455586938 573189640 716487050 911173876 1138967345 1432974100 1822347752 2277934690 2865948200 4555869380 5694836725 6606010601 9111738760 11389673450 13212021202 22779346900 26424042404 33030053005 45558693800 52848084808 66060106010 132120212020 165150265025 264240424040 330300530050 660601060100 1321202120200