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2023200103240 = 2351923647317881
BaseRepresentation
bin11101011100010000000…
…111111001101101001000
321011102020021221012121001
4131130100013321231020
5231122003211300430
64145240103424344
7266112533062021
oct35342007715510
97142207835531
102023200103240
11710041793828
122881397550b4
13118a2cc15804
146dccdb89c48
1537964b673ca
hex1d7101f9b48

2023200103240 has 128 divisors (see below), whose sum is σ = 5001180537600. Its totient is φ = 733197864960.

The previous prime is 2023200103201. The next prime is 2023200103283. The reversal of 2023200103240 is 423010023202.

It is a Harshad number since it is a multiple of its sum of digits (19).

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, 113139100 + ... + 113156980.

It is an arithmetic number, because the mean of its divisors is an integer number (39071722950).

Almost surely, 22023200103240 is an apocalyptic number.

2023200103240 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 2023200103240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500590268800).

2023200103240 is an abundant number, since it is smaller than the sum of its proper divisors (2977980434360).

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

2023200103240 is a wasteful number, since it uses less digits than its factorization.

2023200103240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24407 (or 24403 counting only the distinct ones).

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

Adding to 2023200103240 its reverse (423010023202), we get a palindrome (2446210126442).

The spelling of 2023200103240 in words is "two trillion, twenty-three billion, two hundred million, one hundred three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 19 20 23 38 40 46 76 92 95 115 152 184 190 230 380 437 460 760 874 920 1748 2185 3496 4370 6473 8740 12946 17480 17881 25892 32365 35762 51784 64730 71524 89405 122987 129460 143048 148879 178810 245974 258920 297758 339739 357620 411263 491948 595516 614935 679478 715240 744395 822526 983896 1191032 1229870 1358956 1488790 1645052 1698695 2056315 2459740 2717912 2828701 2977580 3290104 3397390 4112630 4919480 5657402 5955160 6794780 7813997 8225260 11314804 13589560 14143505 15627994 16450520 22629608 28287010 31255988 39069985 56574020 62511976 78139970 113148040 115743713 156279940 231487426 312559880 462974852 578718565 925949704 1157437130 2199130547 2314874260 2662105399 4398261094 4629748520 5324210798 8796522188 10648421596 10995652735 13310526995 17593044376 21296843192 21991305470 26621053990 43982610940 50580002581 53242107980 87965221880 101160005162 106484215960 202320010324 252900012905 404640020648 505800025810 1011600051620 2023200103240