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10042403200 = 275217210859
BaseRepresentation
bin10010101101001001…
…01110100110000000
3221220212112221101021
421112210232212000
5131031323400300
64340255315224
7503601006304
oct112644564600
927825487337
1010042403200
114293747185
121b4321bb14
13c40715b1b
146b3a3dd04
153db986d1a
hex25692e980

10042403200 has 144 divisors (see below), whose sum is σ = 26355428100. Its totient is φ = 3780321280.

The previous prime is 10042403197. The next prime is 10042403201. The reversal of 10042403200 is 230424001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042403201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 919371 + ... + 930229.

Almost surely, 210042403200 is an apocalyptic number.

10042403200 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 10042403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13177714050).

10042403200 is an abundant number, since it is smaller than the sum of its proper divisors (16313024900).

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

10042403200 is a wasteful number, since it uses less digits than its factorization.

10042403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10917 (or 10883 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10042403200 its reverse (230424001), we get a palindrome (10272827201).

The spelling of 10042403200 in words is "ten billion, forty-two million, four hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 128 136 160 170 200 272 289 320 340 400 425 544 578 640 680 800 850 1088 1156 1360 1445 1600 1700 2176 2312 2720 2890 3200 3400 4624 5440 5780 6800 7225 9248 10859 10880 11560 13600 14450 18496 21718 23120 27200 28900 36992 43436 46240 54295 54400 57800 86872 92480 108590 115600 173744 184603 184960 217180 231200 271475 347488 369206 434360 462400 542950 694976 738412 868720 923015 924800 1085900 1389952 1476824 1737440 1846030 2171800 2953648 3138251 3474880 3692060 4343600 4615075 5907296 6276502 6949760 7384120 8687200 9230150 11814592 12553004 14768240 15691255 17374400 18460300 23629184 25106008 29536480 31382510 34748800 36920600 50212016 59072960 62765020 73841200 78456275 100424032 118145920 125530040 147682400 156912550 200848064 251060080 295364800 313825100 401696128 502120160 590729600 627650200 1004240320 1255300400 2008480640 2510600800 5021201600 10042403200