Search a number
-
+
1233421113132 = 223213139108717443
BaseRepresentation
bin10001111100101101101…
…000001001011100101100
311100220200020102120022100
4101330231220021130230
5130202021301110012
62342343103015100
7155053216322445
oct21745550113454
94326606376270
101233421113132
1143610007704a
1217b06629a490
138c4076888b0
14439ab0782cc
152213dd3c8dc
hex11f2da0972c

1233421113132 has 144 divisors (see below), whose sum is σ = 3385107281920. Its totient is φ = 376415662464.

The previous prime is 1233421113101. The next prime is 1233421113149. The reversal of 1233421113132 is 2313111243321.

1233421113132 is a `hidden beast` number, since 1 + 2 + 3 + 342 + 1 + 1 + 1 + 313 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1233421113096 and 1233421113105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70702803 + ... + 70720245.

Almost surely, 21233421113132 is an apocalyptic number.

1233421113132 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 1233421113132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692553640960).

1233421113132 is an abundant number, since it is smaller than the sum of its proper divisors (2151686168788).

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

1233421113132 is a wasteful number, since it uses less digits than its factorization.

1233421113132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18692 (or 18687 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 1233421113132 its reverse (2313111243321), we get a palindrome (3546532356453).

The spelling of 1233421113132 in words is "one trillion, two hundred thirty-three billion, four hundred twenty-one million, one hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 139 156 234 278 417 468 556 834 1087 1251 1668 1807 2174 2502 3261 3614 4348 5004 5421 6522 7228 9783 10842 13044 14131 16263 17443 19566 21684 28262 32526 34886 39132 42393 52329 56524 65052 69772 84786 104658 127179 151093 156987 169572 209316 226759 254358 302186 313974 453279 453518 508716 604372 627948 680277 906558 907036 1359837 1360554 1813116 1964209 2040831 2424577 2719674 2721108 3928418 4081662 4849154 5439348 5892627 7273731 7856836 8163324 9698308 11785254 14547462 17677881 18960541 21821193 23570508 29094924 31519501 35355762 37921082 43642386 56881623 63039002 70711524 75842164 87284772 94558503 113763246 126078004 170644869 189117006 227526492 246487033 283675509 341289738 378234012 492974066 567351018 682579476 739461099 985948132 1134702036 1478922198 2218383297 2635515199 2957844396 4436766594 5271030398 7906545597 8873533188 10542060796 15813091194 23719636791 31626182388 34261697587 47439273582 68523395174 94878547164 102785092761 137046790348 205570185522 308355278283 411140371044 616710556566 1233421113132