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101322010240 = 2751114392331
BaseRepresentation
bin101111001011101000…
…0110010111010000000
3100200112022020102100221
41132113100302322000
53130001413311430
6114314030152424
710214565606523
oct1362720627200
9320468212327
10101322010240
1139a746a6a50
1217778652714
139729682b19
144c92870bba
15298032657a
hex1797432e80

101322010240 has 64 divisors (see below), whose sum is σ = 264243215520. Its totient is φ = 36844364800.

The previous prime is 101322010187. The next prime is 101322010241. The reversal of 101322010240 is 42010223101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1013220102402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (101322010241) 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 7 ways as a sum of consecutive naturals, for example, 7189126 + ... + 7203205.

Almost surely, 2101322010240 is an apocalyptic number.

101322010240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101322010240 is an abundant number, since it is smaller than the sum of its proper divisors (162921205280).

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

101322010240 is a wasteful number, since it uses less digits than its factorization.

101322010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14392361 (or 14392349 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 101322010240 its reverse (42010223101), we get a palindrome (143332233341).

The spelling of 101322010240 in words is "one hundred one billion, three hundred twenty-two million, ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 14392331 28784662 57569324 71961655 115138648 143923310 158315641 230277296 287846620 316631282 460554592 575693240 633262564 791578205 921109184 1151386480 1266525128 1583156410 1842218368 2302772960 2533050256 3166312820 4605545920 5066100512 6332625640 9211091840 10132201024 12665251280 20264402048 25330502560 50661005120 101322010240