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10315115215100 = 22523120291639949
BaseRepresentation
bin1001011000011010110011…
…0001110011100011111100
31100112010010010002202122222
42112012230301303203330
52323000323443340400
633534410513424512
72113146112441313
oct226065461634374
940463103082588
1010315115215100
113317685696123
1211a717b26b138
1359a932643197
1427937b8c727a
1512d4be5c4185
hex961acc738fc

10315115215100 has 72 divisors (see below), whose sum is σ = 23117259984000. Its totient is φ = 3990977452800.

The previous prime is 10315115215049. The next prime is 10315115215117. The reversal of 10315115215100 is 151251151301.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10315115215100.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5469926 + ... + 7109874.

Almost surely, 210315115215100 is an apocalyptic number.

10315115215100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10315115215100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11558629992000).

10315115215100 is an abundant number, since it is smaller than the sum of its proper divisors (12802144768900).

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

10315115215100 is a wasteful number, since it uses less digits than its factorization.

10315115215100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642023 (or 1642016 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 26.

Adding to 10315115215100 its reverse (151251151301), we get a palindrome (10466366366401).

The spelling of 10315115215100 in words is "ten trillion, three hundred fifteen billion, one hundred fifteen million, two hundred fifteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 2029 3100 4058 8116 10145 20290 40580 50725 62899 101450 125798 202900 251596 314495 628990 1257980 1572475 1639949 3144950 3279898 6289900 6559796 8199745 16399490 32798980 40998725 50838419 81997450 101676838 163994900 203353676 254192095 508384190 1016768380 1270960475 2541920950 3327456521 5083841900 6654913042 13309826084 16637282605 33274565210 66549130420 83186413025 103151152151 166372826050 206302304302 332745652100 412604608604 515755760755 1031511521510 2063023043020 2578778803775 5157557607550 10315115215100