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1012311302200 = 2352113531303517
BaseRepresentation
bin11101011101100100111…
…01001010000000111000
310120202221201022101011121
432232302131022000320
5113041203143132300
62053014400235024
7133065006044242
oct16566235120070
93522851271147
101012311302200
11360356380510
1214423900ba74
13745caa87643
1436dd353b092
151b4ec4c981a
hexebb274a038

1012311302200 has 96 divisors (see below), whose sum is σ = 2574865175760. Its totient is φ = 367070105600.

The previous prime is 1012311302147. The next prime is 1012311302231. The reversal of 1012311302200 is 22031132101.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 124842 + ... + 1428358.

Almost surely, 21012311302200 is an apocalyptic number.

1012311302200 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 1012311302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287432587880).

1012311302200 is an abundant number, since it is smaller than the sum of its proper divisors (1562553873560).

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

1012311302200 is a wasteful number, since it uses less digits than its factorization.

1012311302200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303897 (or 1303888 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1012311302200 its reverse (22031132101), we get a palindrome (1034342434301).

The spelling of 1012311302200 in words is "one trillion, twelve billion, three hundred eleven million, three hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 353 440 550 706 1100 1412 1765 2200 2824 3530 3883 7060 7766 8825 14120 15532 17650 19415 31064 35300 38830 70600 77660 97075 155320 194150 388300 776600 1303517 2607034 5214068 6517585 10428136 13035170 14338687 26070340 28677374 32587925 52140680 57354748 65175850 71693435 114709496 130351700 143386870 260703400 286773740 358467175 460141501 573547480 716934350 920283002 1433868700 1840566004 2300707505 2867737400 3681132008 4601415010 5061556511 9202830020 10123113022 11503537525 18405660040 20246226044 23007075050 25307782555 40492452088 46014150100 50615565110 92028300200 101231130220 126538912775 202462260440 253077825550 506155651100 1012311302200