Search a number
-
+
1011043231312 = 241997254913451
BaseRepresentation
bin11101011011001101101…
…11110110011001010000
310120122200100012200221011
432231212313312121100
5113031104031400222
62052244501140304
7133021410445462
oct16554667663120
93518610180834
101011043231312
1135a865601044
12143b443ba694
137445814b73a
1436d12d6c132
151b475ee4c77
hexeb66df6650

1011043231312 has 80 divisors (see below), whose sum is σ = 2084225976000. Its totient is φ = 473756774400.

The previous prime is 1011043231307. The next prime is 1011043231313. The reversal of 1011043231312 is 2131323401101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011043231313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75158187 + ... + 75171637.

It is an arithmetic number, because the mean of its divisors is an integer number (26052824700).

Almost surely, 21011043231312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011043231312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042112988000).

1011043231312 is an abundant number, since it is smaller than the sum of its proper divisors (1073182744688).

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

1011043231312 is a wasteful number, since it uses less digits than its factorization.

1011043231312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16124 (or 16118 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 1011043231312 its reverse (2131323401101), we get a palindrome (3142366632413).

The spelling of 1011043231312 in words is "one trillion, eleven billion, forty-three million, two hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 97 152 194 304 388 776 1552 1843 2549 3686 5098 7372 10196 13451 14744 20392 26902 29488 40784 48431 53804 96862 107608 193724 215216 247253 255569 387448 494506 511138 774896 989012 1022276 1304747 1978024 2044552 2609494 3956048 4089104 4697807 5218988 9395614 10437976 18791228 20875952 24790193 34286599 37582456 49580386 68573198 75164912 99160772 137146396 198321544 274292792 396643088 548585584 651445381 1302890762 2605781524 3325800103 5211563048 6651600206 10423126096 13303200412 26606400824 53212801648 63190201957 126380403914 252760807828 505521615656 1011043231312