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213332223100 = 225217202761909
BaseRepresentation
bin1100011010101110010…
…1110110010001111100
3202101122111012210101011
43012223211312101330
511443401022114400
6242000425525004
721261366656053
oct3065345662174
9671574183334
10213332223100
11825235297a7
1235418643764
131716a491799
14a47aa0b39a
155838b4c8ba
hex31ab97647c

213332223100 has 72 divisors (see below), whose sum is σ = 490411892880. Its totient is φ = 80272389120.

The previous prime is 213332223067. The next prime is 213332223109. The reversal of 213332223100 is 1322233312.

It is a super-2 number, since 2×2133322231002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213332223109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3414946 + ... + 3476854.

It is an arithmetic number, because the mean of its divisors is an integer number (6811276290).

Almost surely, 2213332223100 is an apocalyptic number.

213332223100 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 213332223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245205946440).

213332223100 is an abundant number, since it is smaller than the sum of its proper divisors (277079669780).

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

213332223100 is a wasteful number, since it uses less digits than its factorization.

213332223100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63967 (or 63960 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 213332223100 its reverse (1322233312), we get a palindrome (214654456412).

The spelling of 213332223100 in words is "two hundred thirteen billion, three hundred thirty-two million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 2027 4054 8108 10135 20270 34459 40540 50675 61909 68918 101350 123818 137836 172295 202700 247636 309545 344590 619090 689180 861475 1052453 1238180 1547725 1722950 2104906 3095450 3445900 4209812 5262265 6190900 10524530 21049060 26311325 52622650 105245300 125489543 250979086 501958172 627447715 1254895430 2133322231 2509790860 3137238575 4266644462 6274477150 8533288924 10666611155 12548954300 21333222310 42666444620 53333055775 106666111550 213332223100