Search a number
-
+
1333013100232 = 23113475095233
BaseRepresentation
bin10011011001011101110…
…001011011011011001000
311201102201222022201002011
4103121131301123123020
5133320002323201412
62500213332545304
7165210210254122
oct23313561333310
94642658281064
101333013100232
11474367164000
1219641b482234
13989197ac788
1448737c4a212
1524a1c32e7a7
hex1365dc5b6c8

1333013100232 has 128 divisors (see below), whose sum is σ = 2813697907200. Its totient is φ = 591745059840.

The previous prime is 1333013100229. The next prime is 1333013100239. The reversal of 1333013100232 is 2320013103331.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1333013100239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254729488 + ... + 254734720.

It is an arithmetic number, because the mean of its divisors is an integer number (21982014900).

Almost surely, 21333013100232 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 1333013100232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406848953600).

1333013100232 is an abundant number, since it is smaller than the sum of its proper divisors (1480684806968).

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

1333013100232 is a wasteful number, since it uses less digits than its factorization.

1333013100232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5828 (or 5802 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 1333013100232 its reverse (2320013103331), we get a palindrome (3653026203563).

The spelling of 1333013100232 in words is "one trillion, three hundred thirty-three billion, thirteen million, one hundred thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 47 88 94 121 188 242 376 484 509 517 968 1018 1034 1331 2036 2068 2662 4072 4136 5233 5324 5599 5687 10466 10648 11198 11374 20932 22396 22748 23923 41864 44792 45496 47846 57563 61589 62557 95692 115126 123178 125114 191384 230252 245951 246356 250228 263153 460504 491902 492712 500456 526306 633193 677479 983804 1052612 1266386 1354958 1967608 2105224 2532772 2663597 2705461 2709916 2894683 5065544 5327194 5410922 5419832 5789366 6965123 10654388 10821844 11578732 13930246 21308776 21643688 23157464 27860492 29299567 29760071 31841513 55720984 58599134 59520142 63683026 117198268 119040284 125189059 127366052 234396536 238080568 250378118 254732104 322295237 327360781 500756236 644590474 654721562 1001512472 1289180948 1309443124 1377079649 2578361896 2618886248 2754159298 3545247607 5508318596 7090495214 11016637192 14180990428 15147876139 28361980856 30295752278 60591504556 121183009112 166626637529 333253275058 666506550116 1333013100232