Search a number
-
+
1022311131120 = 243254691302681
BaseRepresentation
bin11101110000001100111…
…11011110011111110000
310121201202121202022121200
432320012133132133300
5113222143122143440
62101350535251200
7133600552144356
oct16700637363760
93551677668550
101022311131120
11364617a88a34
12146169b19b00
1375532714c86
14376a16577d6
151b8d5351c30
hexee067de7f0

1022311131120 has 120 divisors (see below), whose sum is σ = 3434004776592. Its totient is φ = 272557286400.

The previous prime is 1022311131103. The next prime is 1022311131139. The reversal of 1022311131120 is 211311132201.

1022311131120 is a `hidden beast` number, since 1 + 0 + 22 + 311 + 1 + 311 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 1022311131093 and 1022311131102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3226180 + ... + 3528860.

Almost surely, 21022311131120 is an apocalyptic number.

1022311131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022311131120 is an abundant number, since it is smaller than the sum of its proper divisors (2411693645472).

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

1022311131120 is a wasteful number, since it uses less digits than its factorization.

1022311131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307391 (or 307382 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1022311131120 its reverse (211311132201), we get a palindrome (1233622263321).

The spelling of 1022311131120 in words is "one trillion, twenty-two billion, three hundred eleven million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 4691 9382 14073 18764 23455 28146 37528 42219 46910 56292 70365 75056 84438 93820 112584 140730 168876 187640 211095 225168 281460 302681 337752 375280 422190 562920 605362 675504 844380 908043 1125840 1210724 1513405 1688760 1816086 2421448 2724129 3026810 3377520 3632172 4540215 4842896 5448258 6053620 7264344 9080430 10896516 12107240 13620645 14528688 18160860 21793032 24214480 27241290 36321720 43586064 54482580 72643440 108965160 217930320 1419876571 2839753142 4259629713 5679506284 7099382855 8519259426 11359012568 12778889139 14198765710 17038518852 21298148565 22718025136 25557778278 28397531420 34077037704 42596297130 51115556556 56795062840 63894445695 68154075408 85192594260 102231113112 113590125680 127788891390 170385188520 204462226224 255577782780 340770377040 511155565560 1022311131120