Search a number
-
+
1131004001214 = 233891973833119
BaseRepresentation
bin10000011101010101000…
…101110111101110111110
311000010022121120012212000
4100131111011313232332
5122012244011014324
62223324232523130
7144466222250433
oct20352505675676
94003277505760
101131004001214
113a6724300a9a
12163242b504a6
138286517b819
143ca52dc1b8a
151e6477eb9c9
hex10755177bbe

1131004001214 has 128 divisors (see below), whose sum is σ = 2561974272000. Its totient is φ = 369786219264.

The previous prime is 1131004001143. The next prime is 1131004001243. The reversal of 1131004001214 is 4121004001311.

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

It is a congruent number.

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, 362615947 + ... + 362619065.

It is an arithmetic number, because the mean of its divisors is an integer number (20015424000).

Almost surely, 21131004001214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131004001214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280987136000).

1131004001214 is an abundant number, since it is smaller than the sum of its proper divisors (1430970270786).

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

1131004001214 is a wasteful number, since it uses less digits than its factorization.

1131004001214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3799 (or 3793 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1131004001214 its reverse (4121004001311), we get a palindrome (5252008002525).

The spelling of 1131004001214 in words is "one trillion, one hundred thirty-one billion, four million, one thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 89 178 197 267 383 394 534 591 766 801 1149 1182 1602 1773 2298 2403 3119 3447 3546 4806 5319 6238 6894 9357 10341 10638 17533 18714 20682 28071 34087 35066 52599 56142 68174 75451 84213 102261 105198 150902 157797 168426 204522 226353 277591 306783 315594 452706 473391 555182 613566 614443 679059 832773 920349 946782 1194577 1228886 1358118 1665546 1840698 1843329 2037177 2389154 2498319 3583731 3686658 4074354 4996638 5529987 6715139 7167462 7494957 10751193 11059974 13430278 14989914 16589961 20145417 21502386 32253579 33179922 40290834 54685427 60436251 64507158 106317353 109370854 120872502 164056281 181308753 212634706 235331669 318952059 328112562 362617506 470663338 492168843 637904118 705995007 956856177 984337686 1411990014 1476506529 1913712354 2117985021 2870568531 2953013058 4235970042 5741137062 6353955063 12707910126 20944518541 41889037082 62833555623 125667111246 188500666869 377001333738 565502000607 1131004001214