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20003200120 = 23531731371613
BaseRepresentation
bin10010101000010010…
…001001110001111000
31220122001112211222201
4102220102021301320
5311431304400440
613104521555544
71305461252461
oct225022116170
956561484881
1020003200120
118535315352
123a63045bb4
131b6a2583b7
14d7a8b9d68
157c119e19a
hex4a8489c78

20003200120 has 128 divisors (see below), whose sum is σ = 47468643840. Its totient is φ = 7576657920.

The previous prime is 20003200117. The next prime is 20003200159. The reversal of 20003200120 is 2100230002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20003200097 and 20003200106.

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, 12400434 + ... + 12402046.

It is an arithmetic number, because the mean of its divisors is an integer number (370848780).

Almost surely, 220003200120 is an apocalyptic number.

20003200120 is a gapful number since it is divisible by the number (20) 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 20003200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23734321920).

20003200120 is an abundant number, since it is smaller than the sum of its proper divisors (27465443720).

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

20003200120 is a wasteful number, since it uses less digits than its factorization.

20003200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 20003200120 its reverse (2100230002), we get a palindrome (22103430122).

The spelling of 20003200120 in words is "twenty billion, three million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 73 124 137 146 155 248 274 292 310 365 548 584 620 685 730 1096 1240 1370 1460 1613 2263 2740 2920 3226 4247 4526 5480 6452 8065 8494 9052 10001 11315 12904 16130 16988 18104 20002 21235 22630 32260 33976 40004 42470 45260 50003 50005 64520 80008 84940 90520 100006 100010 117749 169880 200012 200020 220981 235498 250015 310031 400024 400040 441962 470996 500030 588745 620062 883924 941992 1000060 1104905 1177490 1240124 1550155 1767848 2000120 2209810 2354980 2480248 3100310 3650219 4419620 4709960 6200620 6850411 7300438 8839240 12401240 13700822 14600876 16131613 18251095 27401644 29201752 32263226 34252055 36502190 54803288 64526452 68504110 73004380 80658065 129052904 137008220 146008760 161316130 274016440 322632260 500080003 645264520 1000160006 2000320012 2500400015 4000640024 5000800030 10001600060 20003200120