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103552124020 = 22571791078627
BaseRepresentation
bin110000001110000110…
…0000000010001110100
3100220021201120221100121
41200130030000101310
53144033320432040
6115323213221324
710324055350132
oct1403414002164
9326251527317
10103552124020
113aa09524494
121809b491844
1399c36c9187
145024b0a752
152a60ee0c4a
hex181c300474

103552124020 has 96 divisors (see below), whose sum is σ = 225426862080. Its totient is φ = 39939070080.

The previous prime is 103552124009. The next prime is 103552124153. The reversal of 103552124020 is 20421255301.

103552124020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1035521240203 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11998947 + ... + 12007573.

It is an arithmetic number, because the mean of its divisors is an integer number (2348196480).

Almost surely, 2103552124020 is an apocalyptic number.

103552124020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103552124020 is an abundant number, since it is smaller than the sum of its proper divisors (121874738060).

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

103552124020 is a wasteful number, since it uses less digits than its factorization.

103552124020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8893 (or 8891 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 103552124020 its reverse (20421255301), we get a palindrome (123973379321).

The spelling of 103552124020 in words is "one hundred three billion, five hundred fifty-two million, one hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 71 79 107 142 158 214 284 316 355 395 428 535 710 790 1070 1420 1580 2140 5609 7597 8453 8627 11218 15194 16906 17254 22436 28045 30388 33812 34508 37985 42265 43135 56090 75970 84530 86270 112180 151940 169060 172540 600163 612517 681533 923089 1200326 1225034 1363066 1846178 2400652 2450068 2726132 3000815 3062585 3407665 3692356 4615445 6001630 6125170 6815330 9230890 12003260 12250340 13630660 18461780 48388843 65539319 72924031 96777686 131078638 145848062 193555372 241944215 262157276 291696124 327696595 364620155 483888430 655393190 729240310 967776860 1310786380 1458480620 5177606201 10355212402 20710424804 25888031005 51776062010 103552124020