Search a number
-
+
1213343281152 = 21232291134967
BaseRepresentation
bin10001101010000000111…
…001010011000000000000
311021222211222110000122200
4101222000321103000000
5124334411334444102
62325222513233200
7153442530502242
oct21520071230000
94258758400580
101213343281152
11428637717782
121771a2262800
138a557b2c642
1442a246d2092
152186634a51c
hex11a80e53000

1213343281152 has 156 divisors (see below), whose sum is σ = 3625643926320. Its totient is φ = 390500941824.

The previous prime is 1213343281097. The next prime is 1213343281159. The reversal of 1213343281152 is 2511823433121.

1213343281152 is a `hidden beast` number, since 1 + 2 + 133 + 432 + 81 + 15 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1213343281159) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 501573 + ... + 1636539.

It is an arithmetic number, because the mean of its divisors is an integer number (23241307220).

Almost surely, 21213343281152 is an apocalyptic number.

1213343281152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213343281152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812821963160).

1213343281152 is an abundant number, since it is smaller than the sum of its proper divisors (2412300645168).

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

1213343281152 is a wasteful number, since it uses less digits than its factorization.

1213343281152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135026 (or 1135001 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The spelling of 1213343281152 in words is "one trillion, two hundred thirteen billion, three hundred forty-three million, two hundred eighty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 512 522 576 696 768 928 1024 1044 1152 1392 1536 1856 2048 2088 2304 2784 3072 3712 4096 4176 4608 5568 6144 7424 8352 9216 11136 12288 14848 16704 18432 22272 29696 33408 36864 44544 59392 66816 89088 118784 133632 178176 267264 356352 534528 1069056 1134967 2269934 3404901 4539868 6809802 9079736 10214703 13619604 18159472 20429406 27239208 32914043 36318944 40858812 54478416 65828086 72637888 81717624 98742129 108956832 131656172 145275776 163435248 197484258 217913664 263312344 290551552 296226387 326870496 394968516 435827328 526624688 581103104 592452774 653740992 789937032 871654656 1053249376 1162206208 1184905548 1307481984 1579874064 1743309312 2106498752 2324412416 2369811096 2614963968 3159748128 3486618624 4212997504 4648824832 4739622192 5229927936 6319496256 6973237248 8425995008 9479244384 10459855872 12638992512 13946474496 16851990016 18958488768 20919711744 25277985024 33703980032 37916977536 41839423488 50555970048 67407960064 75833955072 101111940096 134815920128 151667910144 202223880192 303335820288 404447760384 606671640576 1213343281152