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10203442300 = 2252315955787
BaseRepresentation
bin10011000000010110…
…00010110001111100
3222100002120120111101
421200023002301330
5131344040123200
64404251102444
7510564554122
oct114013026174
928302516441
1010203442300
114366639247
121b89141a24
13c67bab52c
146cb19d912
153eab9726a
hex2602c2c7c

10203442300 has 72 divisors (see below), whose sum is σ = 23243512320. Its totient is φ = 3882705600.

The previous prime is 10203442289. The next prime is 10203442343. The reversal of 10203442300 is 324430201.

It is a super-3 number, since 3×102034423003 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155007 + ... + 210793.

It is an arithmetic number, because the mean of its divisors is an integer number (322826560).

Almost surely, 210203442300 is an apocalyptic number.

10203442300 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 10203442300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11621756160).

10203442300 is an abundant number, since it is smaller than the sum of its proper divisors (13040070020).

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

10203442300 is a wasteful number, since it uses less digits than its factorization.

10203442300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55891 (or 55884 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 10203442300 its reverse (324430201), we get a palindrome (10527872501).

The spelling of 10203442300 in words is "ten billion, two hundred three million, four hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 59 62 100 118 124 155 236 295 310 590 620 775 1180 1475 1550 1829 2950 3100 3658 5900 7316 9145 18290 36580 45725 55787 91450 111574 182900 223148 278935 557870 1115740 1394675 1729397 2789350 3291433 3458794 5578700 6582866 6917588 8646985 13165732 16457165 17293970 32914330 34587940 43234925 65828660 82285825 86469850 102034423 164571650 172939700 204068846 329143300 408137692 510172115 1020344230 2040688460 2550860575 5101721150 10203442300