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2023100133220 = 2251931836920521
BaseRepresentation
bin11101011100001010001…
…010100010111101100100
321011101222022211012111201
4131130022022202331210
5231121302113230340
64145222133012244
7266110210253155
oct35341212427544
97141868735451
102023100133220
1170aaa0312881
12288110184084
13118a152b285a
146dcc07a592c
153795aebb79a
hex1d70a2a2f64

2023100133220 has 96 divisors (see below), whose sum is σ = 4617154483200. Its totient is φ = 741793075200.

The previous prime is 2023100133181. The next prime is 2023100133227. The reversal of 2023100133220 is 223310013202.

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

It is not an unprimeable number, because it can be changed into a prime (2023100133227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98576560 + ... + 98597080.

It is an arithmetic number, because the mean of its divisors is an integer number (48095359200).

Almost surely, 22023100133220 is an apocalyptic number.

2023100133220 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 2023100133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308577241600).

2023100133220 is an abundant number, since it is smaller than the sum of its proper divisors (2594054349980).

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

2023100133220 is a wasteful number, since it uses less digits than its factorization.

2023100133220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28949 (or 28947 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 2023100133220 its reverse (223310013202), we get a palindrome (2246410146422).

The spelling of 2023100133220 in words is "two trillion, twenty-three billion, one hundred million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 190 310 380 589 620 1178 2356 2945 5890 8369 11780 16738 20521 33476 41042 41845 82084 83690 102605 159011 167380 205210 259439 318022 389899 410420 518878 636044 636151 779798 795055 1037756 1272302 1297195 1559596 1590110 1949495 2544604 2594390 3180220 3180755 3898990 4929341 5188780 6361510 7797980 9858682 12086869 12723020 19717364 24173738 24646705 48347476 49293410 60434345 98586820 120868690 171740249 241737380 343480498 686960996 858701245 1717402490 3263064731 3434804980 5323947719 6526129462 10647895438 13052258924 16315323655 21295790876 26619738595 32630647310 53239477190 65261294620 101155006661 106478954380 202310013322 404620026644 505775033305 1011550066610 2023100133220