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101403300102 = 231317416130577
BaseRepresentation
bin101111001110000011…
…0111001000100000110
3100200201222012101002120
41132130012321010012
53130133221100402
6114330052350410
710216603554306
oct1363406710406
9320658171076
10101403300102
113a006579255
121779b915406
139740475330
144c9d591606
1529875323bc
hex179c1b9106

101403300102 has 128 divisors (see below), whose sum is σ = 240786338688. Its totient is φ = 28178841600.

The previous prime is 101403300079. The next prime is 101403300139. The reversal of 101403300102 is 201003304101.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3301038 + ... + 3331614.

It is an arithmetic number, because the mean of its divisors is an integer number (1881143271).

Almost surely, 2101403300102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101403300102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120393169344).

101403300102 is an abundant number, since it is smaller than the sum of its proper divisors (139383038586).

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

101403300102 is a wasteful number, since it uses less digits than its factorization.

101403300102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30714.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 101403300102 its reverse (201003304101), we get a palindrome (302406604203).

The spelling of 101403300102 in words is "one hundred one billion, four hundred three million, three hundred thousand, one hundred two".

Divisors: 1 2 3 6 13 17 26 34 39 41 51 61 78 82 102 122 123 183 221 246 366 442 533 663 697 793 1037 1066 1326 1394 1586 1599 2074 2091 2379 2501 3111 3198 4182 4758 5002 6222 7503 9061 13481 15006 18122 26962 27183 30577 32513 40443 42517 54366 61154 65026 80886 85034 91731 97539 127551 183462 195078 255102 397501 519809 552721 795002 1039618 1105442 1192503 1253657 1559427 1658163 1865197 2385006 2507314 3118854 3316326 3730394 3760971 5595591 6757517 7521942 11191182 13515034 16297541 20272551 21312169 24247561 31708349 32595082 40545102 42624338 48495122 48892623 63416698 63936507 72742683 76473077 95125047 97785246 127873014 145485366 152946154 190250094 229419231 277058197 412208537 458838462 554116394 824417074 831174591 994150001 1236625611 1300042309 1662349182 1988300002 2473251222 2600084618 2982450003 3900126927 5964900006 7800253854 16900550017 33801100034 50701650051 101403300102