Search a number
-
+
1011001201232 = 2411174725128643
BaseRepresentation
bin11101011011001000101…
…11100001001001010000
310120122120102010100111112
432231210113201021100
5113031012301414412
62052240400232452
7133020360264011
oct16554427411120
93518512110445
101011001201232
1135a843904240
12143b3230b728
137444c523b79
1436d0b54b008
151b472491722
hexeb645e1250

1011001201232 has 160 divisors (see below), whose sum is σ = 2320015509504. Its totient is φ = 421610240000.

The previous prime is 1011001201207. The next prime is 1011001201271. The reversal of 1011001201232 is 2321021001101.

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, 35282303 + ... + 35310945.

Almost surely, 21011001201232 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 1011001201232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160007754752).

1011001201232 is an abundant number, since it is smaller than the sum of its proper divisors (1309014308272).

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

1011001201232 is a wasteful number, since it uses less digits than its factorization.

1011001201232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28977 (or 28971 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1011001201232 its reverse (2321021001101), we get a palindrome (3332022202333).

The spelling of 1011001201232 in words is "one trillion, eleven billion, one million, two hundred one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 17 22 34 44 47 68 88 94 136 176 187 188 251 272 374 376 502 517 748 752 799 1004 1034 1496 1598 2008 2068 2761 2992 3196 4016 4136 4267 5522 6392 8272 8534 8789 11044 11797 12784 17068 17578 22088 23594 28643 34136 35156 44176 46937 47188 57286 68272 70312 93874 94376 114572 129767 140624 187748 188752 200549 229144 259534 315073 375496 401098 458288 486931 519068 630146 750992 802196 973862 1038136 1260292 1346221 1604392 1947724 2076272 2206039 2520584 2692442 3208784 3895448 4412078 5041168 5356241 5384884 7189393 7790896 8824156 10712482 10769768 14378786 14808431 17648312 21424964 21539536 22885757 28757572 29616862 35296624 42849928 45771514 57515144 59233724 79083323 85699856 91543028 115030288 118467448 122219681 158166646 183086056 236934896 244439362 251743327 316333292 337901471 366172112 488878724 503486654 632666584 675802942 977757448 1006973308 1265333168 1344416491 1351605884 1955514896 2013946616 2688832982 2703211768 3716916181 4027893232 5377665964 5406423536 5744325007 7433832362 10755331928 11488650014 14867664724 21510663856 22977300028 29735329448 45954600056 59470658896 63187575077 91909200112 126375150154 252750300308 505500600616 1011001201232