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1012232100 = 22352111013037
BaseRepresentation
bin111100010101010…
…110111110100100
32121112200201101210
4330111112332210
54033112411400
6244235351420
734040554665
oct7425267644
92545621353
101012232100
1147a418a60
12242bb2570
13131930a09
149861336c
155dcea950
hex3c556fa4

1012232100 has 144 divisors (see below), whose sum is σ = 3227668416. Its totient is φ = 242880000.

The previous prime is 1012232077. The next prime is 1012232101. The reversal of 1012232100 is 12322101.

It is a super-2 number, since 2×10122321002 = 2049227648540820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1012232101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 331782 + ... + 334818.

It is an arithmetic number, because the mean of its divisors is an integer number (22414364).

Almost surely, 21012232100 is an apocalyptic number.

1012232100 is a gapful number since it is divisible by the number (10) 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 1012232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613834208).

1012232100 is an abundant number, since it is smaller than the sum of its proper divisors (2215436316).

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

1012232100 is a wasteful number, since it uses less digits than its factorization.

1012232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3166 (or 3159 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1012232100 is about 31815.5952325271. The cubic root of 1012232100 is about 1004.0608538111.

Adding to 1012232100 its reverse (12322101), we get a palindrome (1024554201).

Subtracting from 1012232100 its reverse (12322101), we obtain a palindrome (999909999).

The spelling of 1012232100 in words is "one billion, twelve million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 101 110 132 150 165 202 220 275 300 303 330 404 505 550 606 660 825 1010 1100 1111 1212 1515 1650 2020 2222 2525 3030 3037 3300 3333 4444 5050 5555 6060 6074 6666 7575 9111 10100 11110 12148 13332 15150 15185 16665 18222 22220 27775 30300 30370 33330 33407 36444 45555 55550 60740 66660 66814 75925 83325 91110 100221 111100 133628 151850 166650 167035 182220 200442 227775 303700 306737 333300 334070 400884 455550 501105 613474 668140 835175 911100 920211 1002210 1226948 1533685 1670350 1840422 2004420 2505525 3067370 3340700 3374107 3680844 4601055 5011050 6134740 6748214 7668425 9202110 10022100 10122321 13496428 15336850 16870535 18404220 20244642 23005275 30673700 33741070 40489284 46010550 50611605 67482140 84352675 92021100 101223210 168705350 202446420 253058025 337410700 506116050 1012232100