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100323501040 = 2457832158423
BaseRepresentation
bin101110101101110111…
…1110010001111110000
3100120221201100220020201
41131123233302033300
53120430304013130
6114031000444544
710151052455140
oct1353357621760
9316851326221
10100323501040
1139602001234
121753a179754
1395ca848389
144bd9dd0920
15292283bbca
hex175bbf23f0

100323501040 has 80 divisors (see below), whose sum is σ = 269785732608. Its totient is φ = 33982195968.

The previous prime is 100323501037. The next prime is 100323501049. The reversal of 100323501040 is 40105323001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100323500999 and 100323501017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100323501049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1032732 + ... + 1125691.

Almost surely, 2100323501040 is an apocalyptic number.

100323501040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100323501040 is an abundant number, since it is smaller than the sum of its proper divisors (169462231568).

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

100323501040 is a wasteful number, since it uses less digits than its factorization.

100323501040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158526 (or 2158520 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 100323501040 its reverse (40105323001), we get a palindrome (140428824041).

The spelling of 100323501040 in words is "one hundred billion, three hundred twenty-three million, five hundred one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 83 112 140 166 280 332 415 560 581 664 830 1162 1328 1660 2324 2905 3320 4648 5810 6640 9296 11620 23240 46480 2158423 4316846 8633692 10792115 15108961 17267384 21584230 30217922 34534768 43168460 60435844 75544805 86336920 120871688 151089610 172673840 179149109 241743376 302179220 358298218 604358440 716596436 895745545 1208716880 1254043763 1433192872 1791491090 2508087526 2866385744 3582982180 5016175052 6270218815 7165964360 10032350104 12540437630 14331928720 20064700208 25080875260 50161750520 100323501040