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100322021040 = 24351237733773
BaseRepresentation
bin101110101101110101…
…0001000111010110000
3100120221121120201001220
41131123222020322300
53120424414133130
6114030505025040
710151034052233
oct1353352107260
9316847521056
10100322021040
113960119029a
1217539785180
1395ca44a837
144bd9b2741a
152922648410
hex175ba88eb0

100322021040 has 80 divisors (see below), whose sum is σ = 311032601568. Its totient is φ = 26749585408.

The previous prime is 100322021029. The next prime is 100322021047. The reversal of 100322021040 is 40120223001.

100322021040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (100322021047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2953594 + ... + 2987366.

Almost surely, 2100322021040 is an apocalyptic number.

100322021040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100322021040 is an abundant number, since it is smaller than the sum of its proper divisors (210710580528).

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

100322021040 is a wasteful number, since it uses less digits than its factorization.

100322021040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46166 (or 46160 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 100322021040 its reverse (40120223001), we get a palindrome (140442244041).

The spelling of 100322021040 in words is "one hundred billion, three hundred twenty-two million, twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 12377 24754 33773 37131 49508 61885 67546 74262 99016 101319 123770 135092 148524 168865 185655 198032 202638 247540 270184 297048 337730 371310 405276 495080 506595 540368 594096 675460 742620 810552 990160 1013190 1350920 1485240 1621104 2026380 2701840 2970480 4052760 8105520 418008421 836016842 1254025263 1672033684 2090042105 2508050526 3344067368 4180084210 5016101052 6270126315 6688134736 8360168420 10032202104 12540252630 16720336840 20064404208 25080505260 33440673680 50161010520 100322021040