Search a number
-
+
2212110201000 = 233537109966409
BaseRepresentation
bin100000001100001100000…
…010101111000010101000
321211110211202121111011110
4200030030002233002220
5242220400202413000
64412121314430320
7315551103315360
oct40141402570250
97743752544143
102212110201000
117831725a2267
122b887b2923a0
131307a77c0a4b
14790d10779a0
153c81e6de850
hex2030c0af0a8

2212110201000 has 256 divisors, whose sum is σ = 7960125888000. Its totient is φ = 500985907200.

The previous prime is 2212110200957. The next prime is 2212110201017. The reversal of 2212110201000 is 1020112122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1805796 + ... + 2772204.

It is an arithmetic number, because the mean of its divisors is an integer number (31094241750).

Almost surely, 22212110201000 is an apocalyptic number.

2212110201000 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 2212110201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3980062944000).

2212110201000 is an abundant number, since it is smaller than the sum of its proper divisors (5748015687000).

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

2212110201000 is a wasteful number, since it uses less digits than its factorization.

2212110201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966549 (or 966535 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2212110201000 its reverse (1020112122), we get a palindrome (2213130313122).

The spelling of 2212110201000 in words is "two trillion, two hundred twelve billion, one hundred ten million, two hundred one thousand".