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10132111103220 = 22325618910368301
BaseRepresentation
bin1001001101110001000011…
…1000100001010011110100
31022212121202020120122122100
42103130100320201103310
52312001030420300340
633314343320302100
72064010105241451
oct223342070412364
938777666518570
1010132111103220
113257005635257
121177807611930
135865b9507952
1427057ab34828
1512885d2b3830
hex93710e214f4

10132111103220 has 144 divisors (see below), whose sum is σ = 31588898337360. Its totient is φ = 2627741952000.

The previous prime is 10132111103207. The next prime is 10132111103249. The reversal of 10132111103220 is 2230111123101.

10132111103220 is a `hidden beast` number, since 1 + 0 + 1 + 321 + 11 + 10 + 322 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3993946292196 + 6138164811024 = 1998486^2 + 2477532^2 .

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 = 10132111103193 and 10132111103202.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4206931 + ... + 6161370.

It is an arithmetic number, because the mean of its divisors is an integer number (219367349565).

Almost surely, 210132111103220 is an apocalyptic number.

10132111103220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132111103220 is an abundant number, since it is smaller than the sum of its proper divisors (21456787234140).

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

10132111103220 is a wasteful number, since it uses less digits than its factorization.

10132111103220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10368466 (or 10368461 counting only the distinct ones).

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

Adding to 10132111103220 its reverse (2230111123101), we get a palindrome (12362222226321).

The spelling of 10132111103220 in words is "ten trillion, one hundred thirty-two billion, one hundred eleven million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 89 90 122 178 180 183 244 267 305 356 366 445 534 549 610 732 801 890 915 1068 1098 1220 1335 1602 1780 1830 2196 2670 2745 3204 3660 4005 5340 5429 5490 8010 10858 10980 16020 16287 21716 27145 32574 48861 54290 65148 81435 97722 108580 162870 195444 244305 325740 488610 977220 10368301 20736602 31104903 41473204 51841505 62209806 93314709 103683010 124419612 155524515 186629418 207366020 311049030 373258836 466573545 622098060 632466361 922778789 933147090 1264932722 1845557578 1866294180 1897399083 2529865444 2768336367 3162331805 3691115156 3794798166 4613893945 5536672734 5692197249 6324663610 7589596332 8305009101 9227787890 9486995415 11073345468 11384394498 12649327220 13841681835 16610018202 18455575780 18973990830 22768788996 27683363670 28460986245 33220036404 37947981660 41525045505 55366727340 56289506129 56921972490 83050091010 112579012258 113843944980 166100182020 168868518387 225158024516 281447530645 337737036774 506605555161 562895061290 675474073548 844342591935 1013211110322 1125790122580 1688685183870 2026422220644 2533027775805 3377370367740 5066055551610 10132111103220