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213040402222120 = 235112954073087841
BaseRepresentation
bin110000011100001001010101…
…011111110100110000101000
31000221022110111221001010100221
4300130021111133310300220
5210410423220432101440
62033033224253535424
762605442524315234
oct6034112537646050
91027273457033327
10213040402222120
1161976a22114560
121ba887a77a4574
1391b48154386b5
143a872d37d95c4
151996a0a6aed4a
hexc1c2557f4c28

213040402222120 has 128 divisors (see below), whose sum is σ = 541049204966400. Its totient is φ = 74784026419200.

The previous prime is 213040402222103. The next prime is 213040402222121. The reversal of 213040402222120 is 21222204040312.

It is not an unprimeable number, because it can be changed into a prime (213040402222121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67449400 + ... + 70537240.

It is an arithmetic number, because the mean of its divisors is an integer number (4226946913800).

Almost surely, 2213040402222120 is an apocalyptic number.

213040402222120 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 213040402222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270524602483200).

213040402222120 is an abundant number, since it is smaller than the sum of its proper divisors (328008802744280).

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

213040402222120 is a wasteful number, since it uses less digits than its factorization.

213040402222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3093299 (or 3093295 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 213040402222120 its reverse (21222204040312), we get a palindrome (234262606262432).

The spelling of 213040402222120 in words is "two hundred thirteen trillion, forty billion, four hundred two million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 580 638 1160 1276 1595 2552 3190 5407 6380 10814 12760 21628 27035 43256 54070 59477 108140 118954 156803 216280 237908 297385 313606 475816 594770 627212 784015 1189540 1254424 1568030 1724833 2379080 3087841 3136060 3449666 6175682 6272120 6899332 8624165 12351364 13798664 15439205 17248330 24702728 30878410 33966251 34496660 61756820 67932502 68993320 89547389 123513640 135865004 169831255 179094778 271730008 339662510 358189556 447736945 679325020 716379112 895473890 985021279 1358650040 1790947780 1970042558 3581895560 3940085116 4925106395 7880170232 9850212790 16695956287 19700425580 33391912574 39400851160 66783825148 83479781435 133567650296 166959562870 183655519157 333919125740 367311038314 484182732323 667838251480 734622076628 918277595785 968365464646 1469244153256 1836555191570 1936730929292 2420913661615 3673110383140 3873461858584 4841827323230 5326010055553 7346220766280 9683654646460 10652020111106 19367309292920 21304040222212 26630050277765 42608080444424 53260100555530 106520201111060 213040402222120