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10023203120 = 2457235314683
BaseRepresentation
bin10010101010110110…
…11111000100110000
3221212112102110211012
421111123133010300
5131011414444440
64334332010052
7503245551350
oct112533370460
927775373735
1010023203120
114283922947
121b38900928
13c39752828
146b1282b60
153d9e42e65
hex2556df130

10023203120 has 160 divisors (see below), whose sum is σ = 28317330432. Its totient is φ = 3224871936.

The previous prime is 10023203117. The next prime is 10023203137. The reversal of 10023203120 is 2130232001.

It is a happy number.

10023203120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10023203095 and 10023203104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 675299 + ... + 689981.

Almost surely, 210023203120 is an apocalyptic number.

10023203120 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 10023203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14158665216).

10023203120 is an abundant number, since it is smaller than the sum of its proper divisors (18294127312).

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

10023203120 is a wasteful number, since it uses less digits than its factorization.

10023203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14779 (or 14773 counting only the distinct ones).

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

Adding to 10023203120 its reverse (2130232001), we get a palindrome (12153435121).

The spelling of 10023203120 in words is "ten billion, twenty-three million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 53 56 70 80 92 106 112 115 140 161 184 212 230 265 280 322 368 371 424 460 530 560 644 742 805 848 920 1060 1219 1288 1484 1610 1840 1855 2120 2438 2576 2968 3220 3710 4240 4876 5936 6095 6440 7420 8533 9752 12190 12880 14683 14840 17066 19504 24380 29366 29680 34132 42665 48760 58732 68264 73415 85330 97520 102781 117464 136528 146830 170660 205562 234928 293660 337709 341320 411124 513905 587320 675418 682640 778199 822248 1027810 1174640 1350836 1556398 1644496 1688545 2055620 2363963 2701672 3112796 3377090 3890995 4111240 4727926 5403344 5447393 6225592 6754180 7781990 8222480 9455852 10894786 11819815 12451184 13508360 15563980 17898577 18911704 21789572 23639630 27016720 27236965 31127960 35797154 37823408 43579144 47279260 54473930 62255920 71594308 87158288 89492885 94558520 108947860 125290039 143188616 178985770 189117040 217895720 250580078 286377232 357971540 435791440 501160156 626450195 715943080 1002320312 1252900390 1431886160 2004640624 2505800780 5011601560 10023203120