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10213332011100 = 22325237306706667
BaseRepresentation
bin1001010010011111101000…
…0001101100100001011100
31100011101101200001021101200
42110213322001230201130
52314313400443323400
633415535010235500
72102613613461321
oct224477201544134
940141350037350
1010213332011100
1132884a4728509
12118b4b4285b90
1359116157465a
14274483ac2b48
1512aa13a4cb00
hex949fa06c85c

10213332011100 has 108 divisors (see below), whose sum is σ = 32878341396264. Its totient is φ = 2649945594240.

The previous prime is 10213332011089. The next prime is 10213332011101. The reversal of 10213332011100 is 111023331201.

10213332011100 is a `hidden beast` number, since 1 + 0 + 21 + 333 + 201 + 110 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213332011101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 153320034 + ... + 153386633.

Almost surely, 210213332011100 is an apocalyptic number.

10213332011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10213332011100 is an abundant number, since it is smaller than the sum of its proper divisors (22665009385164).

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

10213332011100 is a wasteful number, since it uses less digits than its factorization.

10213332011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306706724 (or 306706714 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10213332011100 its reverse (111023331201), we get a palindrome (10324355342301).

The spelling of 10213332011100 in words is "ten trillion, two hundred thirteen billion, three hundred thirty-two million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 33300 306706667 613413334 920120001 1226826668 1533533335 1840240002 2760360003 3067066670 3680480004 4600600005 5520720006 6134133340 7667666675 9201200010 11041440012 11348146679 13801800015 15335333350 18402400020 22696293358 23003000025 27603600030 30670666700 34044440037 45392586716 46006000050 55207200060 56740733395 68088880074 69009000075 92012000100 102133320111 113481466790 136177760148 138018000150 170222200185 204266640222 226962933580 276036000300 283703666975 340444400370 408533280444 510666600555 567407333950 680888800740 851111000925 1021333201110 1134814667900 1702222001850 2042666402220 2553333002775 3404444003700 5106666005550 10213332011100