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2412412200330 = 2351143241705427
BaseRepresentation
bin100011000110101110111…
…110001110010110001010
322112121212011011022212020
4203012232332032112022
5304011110010402310
65044125153425310
7336201552240036
oct43065676162612
98477764138766
102412412200330
11850109882a90
1232b65bb6b236
1314664955aa42
1484a932cd1c6
1542b4441a170
hex231aef8e58a

2412412200330 has 128 divisors (see below), whose sum is σ = 6489847305216. Its totient is φ = 568855526400.

The previous prime is 2412412200311. The next prime is 2412412200353. The reversal of 2412412200330 is 330022142142.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2412412200330.

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, 3067077 + ... + 3772503.

It is an arithmetic number, because the mean of its divisors is an integer number (50701932072).

Almost surely, 22412412200330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2412412200330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3244923652608).

2412412200330 is an abundant number, since it is smaller than the sum of its proper divisors (4077435104886).

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

2412412200330 is a wasteful number, since it uses less digits than its factorization.

2412412200330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705732.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2412412200330 its reverse (330022142142), we get a palindrome (2742434342472).

The spelling of 2412412200330 in words is "two trillion, four hundred twelve billion, four hundred twelve million, two hundred thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 129 165 215 241 258 330 430 473 482 645 723 946 1205 1290 1419 1446 2365 2410 2651 2838 3615 4730 5302 7095 7230 7953 10363 13255 14190 15906 20726 26510 31089 39765 51815 62178 79530 103630 113993 155445 227986 310890 341979 569965 683958 705427 1139930 1410854 1709895 2116281 3419790 3527135 4232562 7054270 7759697 10581405 15519394 21162810 23279091 30333361 38798485 46558182 60666722 77596970 91000083 116395455 151666805 170007907 182000166 232790910 303333610 333666971 340015814 455000415 510023721 667333942 850039535 910000830 1001000913 1020047442 1668334855 1700079070 1870086977 2002001826 2550118605 3336669710 3740173954 5005004565 5100237210 5610260931 7310340001 9350434885 10010009130 11220521862 14620680002 18700869770 21931020003 28051304655 36551700005 43862040006 56102609310 73103400010 80413740011 109655100015 160827480022 219310200030 241241220033 402068700055 482482440066 804137400110 1206206100165 2412412200330