Search a number
-
+
101041635552 = 25311137360259
BaseRepresentation
bin101111000011010001…
…1010000000011100000
3100122210202122220121020
41132012203100003200
53123413124314202
6114230132525440
710204622505564
oct1360643200340
9318722586536
10101041635552
1139940407330
12176ba780880
1396b3566a40
144c675296a4
1529658e25bc
hex17868d00e0

101041635552 has 96 divisors (see below), whose sum is σ = 311603967360. Its totient is φ = 28263390720.

The previous prime is 101041635521. The next prime is 101041635587. The reversal of 101041635552 is 255536140101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3666402 + ... + 3693857.

It is an arithmetic number, because the mean of its divisors is an integer number (3245874660).

Almost surely, 2101041635552 is an apocalyptic number.

101041635552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101041635552 is an abundant number, since it is smaller than the sum of its proper divisors (210562331808).

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

101041635552 is a wasteful number, since it uses less digits than its factorization.

101041635552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7360296 (or 7360288 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

Adding to 101041635552 its reverse (255536140101), we get a palindrome (356577775653).

The spelling of 101041635552 in words is "one hundred one billion, forty-one million, six hundred thirty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1716 2288 3432 4576 6864 13728 7360259 14720518 22080777 29441036 44161554 58882072 80962849 88323108 95683367 117764144 161925698 176646216 191366734 235528288 242888547 287050101 323851396 353292432 382733468 485777094 574100202 647702792 706584864 765466936 971554188 1052517037 1148200404 1295405584 1530933872 1943108376 2105034074 2296400808 2590811168 3061867744 3157551111 3886216752 4210068148 4592801616 6315102222 7772433504 8420136296 9185603232 12630204444 16840272592 25260408888 33680545184 50520817776 101041635552