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1331001002232 = 2333111929483453
BaseRepresentation
bin10011010111100101110…
…101111000100011111000
311201020112202012112112000
4103113211311320203320
5133301342224032412
62455241534421000
7165106305564156
oct23274565704370
94636482175460
101331001002232
11473524403aa0
12195b59661760
139868898a945
14485c69223d6
152495087c4dc
hex135e5d788f8

1331001002232 has 128 divisors (see below), whose sum is σ = 4245617376000. Its totient is φ = 382105537920.

The previous prime is 1331001002189. The next prime is 1331001002237. The reversal of 1331001002232 is 2322001001331.

1331001002232 is a `hidden beast` number, since 1 + 331 + 0 + 0 + 100 + 2 + 232 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331001002237) 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 31 ways as a sum of consecutive naturals, for example, 14696583 + ... + 14786870.

It is an arithmetic number, because the mean of its divisors is an integer number (33168885750).

Almost surely, 21331001002232 is an apocalyptic number.

1331001002232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1331001002232 is an abundant number, since it is smaller than the sum of its proper divisors (2914616373768).

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

1331001002232 is a wasteful number, since it uses less digits than its factorization.

1331001002232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29483498 (or 29483488 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1331001002232 its reverse (2322001001331), we get a palindrome (3653002003563).

Subtracting 1331001002232 from its reverse (2322001001331), we obtain a palindrome (990999999099).

The spelling of 1331001002232 in words is "one trillion, three hundred thirty-one billion, one million, two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 27 33 36 38 44 54 57 66 72 76 88 99 108 114 132 152 171 198 209 216 228 264 297 342 396 418 456 513 594 627 684 792 836 1026 1188 1254 1368 1672 1881 2052 2376 2508 3762 4104 5016 5643 7524 11286 15048 22572 45144 29483453 58966906 88450359 117933812 176900718 235867624 265351077 324317983 353801436 530702154 560185607 648635966 707602872 796053231 972953949 1061404308 1120371214 1297271932 1592106462 1680556821 1945907898 2122808616 2240742428 2594543864 2918861847 3184212924 3361113642 3891815796 4481484856 5041670463 5837723694 6162041677 6368425848 6722227284 7783631592 8756585541 10083340926 11675447388 12324083354 13444454568 15125011389 17513171082 18486125031 20166681852 23350894776 24648166708 30250022778 35026342164 36972250062 40333363704 49296333416 55458375093 60500045556 70052684328 73944500124 110916750186 121000091112 147889000248 166375125279 221833500372 332750250558 443667000744 665500501116 1331001002232