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10031203202000 = 245397223231871
BaseRepresentation
bin1001000111111001001001…
…0011011011001111010000
31022111222021210120011001112
42101332102103123033100
52303322401004431000
633200134321552452
72053505365235561
oct221762223331720
938458253504045
1010031203202000
113218233770572
1211601457a5728
13579c27896366
1426972729c168
15125e044db235
hex91f924db3d0

10031203202000 has 160 divisors (see below), whose sum is σ = 24615501840384. Its totient is φ = 3953290752000.

The previous prime is 10031203201963. The next prime is 10031203202023. The reversal of 10031203202000 is 20230213001.

It is a happy number.

10031203202000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 43146065 + ... + 43377935.

Almost surely, 210031203202000 is an apocalyptic number.

10031203202000 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 10031203202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12307750920192).

10031203202000 is an abundant number, since it is smaller than the sum of its proper divisors (14584298638384).

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

10031203202000 is a wasteful number, since it uses less digits than its factorization.

10031203202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232214 (or 232198 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10031203202000 its reverse (20230213001), we get a palindrome (10051433415001).

The spelling of 10031203202000 in words is "ten trillion, thirty-one billion, two hundred three million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 97 100 125 194 200 223 250 388 400 446 485 500 776 892 970 1000 1115 1552 1784 1940 2000 2230 2425 3568 3880 4460 4850 5575 7760 8920 9700 11150 12125 17840 19400 21631 22300 24250 27875 38800 43262 44600 48500 55750 86524 89200 97000 108155 111500 173048 194000 216310 223000 231871 346096 432620 446000 463742 540775 865240 927484 1081550 1159355 1730480 1854968 2163100 2318710 2703875 3709936 4326200 4637420 5407750 5796775 8652400 9274840 10815500 11593550 18549680 21631000 22491487 23187100 28983875 43262000 44982974 46374200 51707233 57967750 89965948 92748400 103414466 112457435 115935500 179931896 206828932 224914870 231871000 258536165 359863792 413657864 449829740 463742000 517072330 562287175 827315728 899659480 1034144660 1124574350 1292680825 1799318960 2068289320 2249148700 2585361650 2811435875 4136578640 4498297400 5015601601 5170723300 5622871750 6463404125 8996594800 10031203202 10341446600 11245743500 12926808250 20062406404 20682893200 22491487000 25078008005 25853616500 40124812808 44982974000 50156016010 51707233000 80249625616 100312032020 103414466000 125390040025 200624064040 250780080050 401248128080 501560160100 626950200125 1003120320200 1253900400250 2006240640400 2507800800500 5015601601000 10031203202000