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1010301133100 = 2252712971112789
BaseRepresentation
bin11101011001110101010…
…00111110000100101100
310120120202121211012120012
432230322220332010230
5113023044042224400
62052043111312352
7132664126640030
oct16547250760454
93516677735505
101010301133100
1135a514718736
1214397797b6b8
137436a48c77c
1436c825961c0
151b430ca8d35
hexeb3aa3e12c

1010301133100 has 72 divisors (see below), whose sum is σ = 2507480865120. Its totient is φ = 346121579520.

The previous prime is 1010301133097. The next prime is 1010301133117. The reversal of 1010301133100 is 13311030101.

It is a happy number.

It is a super-3 number, since 3×10103011331003 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351506 + ... + 1464294.

Almost surely, 21010301133100 is an apocalyptic number.

1010301133100 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 1010301133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253740432560).

1010301133100 is an abundant number, since it is smaller than the sum of its proper divisors (1497179732020).

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

1010301133100 is a wasteful number, since it uses less digits than its factorization.

1010301133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114107 (or 1114100 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 1010301133100 its reverse (13311030101), we get a palindrome (1023612163201).

The spelling of 1010301133100 in words is "one trillion, ten billion, three hundred one million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1297 2594 5188 6485 9079 12970 18158 25940 32425 36316 45395 64850 90790 129700 181580 226975 453950 907900 1112789 2225578 4451156 5563945 7789523 11127890 15579046 22255780 27819725 31158092 38947615 55639450 77895230 111278900 155790460 194738075 389476150 778952300 1443287333 2886574666 5773149332 7216436665 10103011331 14432873330 20206022662 28865746660 36082183325 40412045324 50515056655 72164366650 101030113310 144328733300 202060226620 252575283275 505150566550 1010301133100