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1121332223032 = 237717331312343
BaseRepresentation
bin10000010100010100100…
…110111101110000111000
310222012100120101222102021
4100110110212331300320
5121332442022114112
62215044413044224
7144004441426420
oct20242446756070
93865316358367
101121332223032
113a261089698a
121613a3a86674
1381983490958
143c3b669b480
151e27d674907
hex105149bdc38

1121332223032 has 128 divisors (see below), whose sum is σ = 2478169589760. Its totient is φ = 465781155840.

The previous prime is 1121332223009. The next prime is 1121332223059. The reversal of 1121332223032 is 2303222331211.

It is a super-4 number, since 4×11213322230324 (a number of 49 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1121332222988 and 1121332223006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90841453 + ... + 90853795.

It is an arithmetic number, because the mean of its divisors is an integer number (19360699920).

Almost surely, 21121332223032 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 1121332223032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239084794880).

1121332223032 is an abundant number, since it is smaller than the sum of its proper divisors (1356837366728).

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

1121332223032 is a wasteful number, since it uses less digits than its factorization.

1121332223032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12813 (or 12809 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 1121332223032 its reverse (2303222331211), we get a palindrome (3424554554243).

The spelling of 1121332223032 in words is "one trillion, one hundred twenty-one billion, three hundred thirty-two million, two hundred twenty-three thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 56 71 73 142 146 284 292 313 497 511 568 584 626 994 1022 1252 1988 2044 2191 2504 3976 4088 4382 5183 8764 10366 12343 17528 20732 22223 22849 24686 36281 41464 44446 45698 49372 72562 86401 88892 91396 98744 145124 155561 159943 172802 177784 182792 290248 311122 319886 345604 622244 639772 691208 876353 901039 1244488 1279544 1622279 1752706 1802078 3244558 3505412 3604156 3863359 6134471 6307273 6489116 7010824 7208312 7726718 11355953 12268942 12614546 12978232 15453436 22711906 24537884 25229092 27043513 30906872 45423812 49075768 50458184 54087026 63973769 90847624 108174052 127947538 216348104 255895076 274298489 282025207 447816383 511790152 548596978 564050414 895632766 1097193956 1128100828 1791265532 1920089423 1974176449 2194387912 2256201656 3582531064 3840178846 3948352898 7680357692 7896705796 15360715384 15793411592 20023789697 40047579394 80095158788 140166527879 160190317576 280333055758 560666111516 1121332223032