Search a number
-
+
1032213110100 = 2235231110990657
BaseRepresentation
bin11110000010101001011…
…00100001110101010100
310122200022201001222011220
433001110230201311110
5113402433024010400
62110105301130340
7134401126445634
oct17012454416524
93580281058156
101032213110100
11368839433337
121480720b99b0
1376450002633
1437d607826c4
151bcb47eb7a0
hexf054b21d54

1032213110100 has 72 divisors (see below), whose sum is σ = 3082876516608. Its totient is φ = 266377574400.

The previous prime is 1032213110077. The next prime is 1032213110113. The reversal of 1032213110100 is 10113122301.

It is a happy number.

It is a super-3 number, since 3×10322131101003 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1032213110100.

It is a congruent number.

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, 55486029 + ... + 55504628.

Almost surely, 21032213110100 is an apocalyptic number.

1032213110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1032213110100 is an abundant number, since it is smaller than the sum of its proper divisors (2050663406508).

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

1032213110100 is a wasteful number, since it uses less digits than its factorization.

1032213110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110990705 (or 110990698 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1032213110100 its reverse (10113122301), we get a palindrome (1042326232401).

The spelling of 1032213110100 in words is "one trillion, thirty-two billion, two hundred thirteen million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 9300 110990657 221981314 332971971 443962628 554953285 665943942 1109906570 1331887884 1664859855 2219813140 2774766425 3329719710 3440710367 5549532850 6659439420 6881420734 8324299275 10322131101 11099065700 13762841468 16648598550 17203551835 20644262202 33297197100 34407103670 41288524404 51610655505 68814207340 86017759175 103221311010 172035518350 206442622020 258053277525 344071036700 516106555050 1032213110100