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2213121001032 = 2332174733382021
BaseRepresentation
bin100000001101001000010…
…010101000011001001000
321211120110012121110010200
4200031020102220121020
5242224432434013112
64412405503412200
7315615126060264
oct40151022503110
97746405543120
102213121001032
11783641122297
122b8b018b4060
1313090903c986
14791893d70a4
153c87d305cdc
hex203484a8648

2213121001032 has 96 divisors (see below), whose sum is σ = 6347807439480. Its totient is φ = 694163957760.

The previous prime is 2213121001001. The next prime is 2213121001057. The reversal of 2213121001032 is 2301001213122.

2213121001032 is a `hidden beast` number, since 221 + 312 + 100 + 1 + 0 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1837776077316 + 375344923716 = 1355646^2 + 612654^2 .

It is a super-3 number, since 3×22131210010323 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2213121000996 and 2213121001014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5602182 + ... + 5984202.

Almost surely, 22213121001032 is an apocalyptic number.

It is an amenable number.

2213121001032 is an abundant number, since it is smaller than the sum of its proper divisors (4134686438448).

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

2213121001032 is a wasteful number, since it uses less digits than its factorization.

2213121001032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386783 (or 386776 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2213121001032 its reverse (2301001213122), we get a palindrome (4514122214154).

The spelling of 2213121001032 in words is "two trillion, two hundred thirteen billion, one hundred twenty-one million, one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 4733 9466 14199 18932 28398 37864 42597 56796 80461 85194 113592 160922 170388 241383 321844 340776 382021 482766 643688 724149 764042 965532 1146063 1448298 1528084 1931064 2292126 2896596 3056168 3438189 4584252 5793192 6494357 6876378 9168504 12988714 13752756 19483071 25977428 27505512 38966142 51954856 58449213 77932284 116898426 155864568 233796852 467593704 1808105393 3616210786 5424316179 7232421572 10848632358 14464843144 16272948537 21697264716 30737791681 32545897074 43394529432 61475583362 65091794148 92213375043 122951166724 130183588296 184426750086 245902333448 276640125129 368853500172 553280250258 737707000344 1106560500516 2213121001032