Search a number
-
+
10120320133104 = 2431061349156923
BaseRepresentation
bin1001001101000101001000…
…0101100010011111110000
31022211111022111210022101110
42103101102011202133300
52311302403423224404
633305113315033320
72063111652531336
oct223212205423760
938744274708343
1010120320133104
113252004973955
12117547689b840
1358545a76c55c
1426db7cba9b56
151283bd082b89
hex934521627f0

10120320133104 has 80 divisors (see below), whose sum is σ = 26176757330304. Its totient is φ = 3369235948800.

The previous prime is 10120320133103. The next prime is 10120320133151. The reversal of 10120320133104 is 40133102302101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120320133103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177761187 + ... + 177818109.

Almost surely, 210120320133104 is an apocalyptic number.

It is an amenable number.

10120320133104 is an abundant number, since it is smaller than the sum of its proper divisors (16056437197200).

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

10120320133104 is a wasteful number, since it uses less digits than its factorization.

10120320133104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61486 (or 61480 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10120320133104 its reverse (40133102302101), we get a palindrome (50253422435205).

The spelling of 10120320133104 in words is "ten trillion, one hundred twenty billion, three hundred twenty million, one hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 1061 2122 3183 3491 4244 6366 6982 8488 10473 12732 13964 16976 20946 25464 27928 41892 50928 55856 56923 83784 113846 167568 170769 227692 341538 455384 683076 910768 1366152 2732304 3703951 7407902 11111853 14815804 22223706 29631608 44447412 59263216 60395303 88894824 120790606 177789648 181185909 198718193 241581212 362371818 397436386 483162424 596154579 724743636 794872772 966324848 1192309158 1449487272 1589745544 2384618316 2898974544 3179491088 4769236632 9538473264 210840002773 421680005546 632520008319 843360011092 1265040016638 1686720022184 2530080033276 3373440044368 5060160066552 10120320133104