Search a number
-
+
2032123010220 = 22325171588741801
BaseRepresentation
bin11101100100100011111…
…110000101110010101100
321012021021010221211212100
4131210203332011302230
5231243241442311340
64153313332335100
7266546621405052
oct35444376056254
97167233854770
102032123010220
11713900509916
12289a09a74490
13119822712924
14704d8c541d2
1537cd81b6830
hex1d923f85cac

2032123010220 has 144 divisors (see below), whose sum is σ = 6527267929728. Its totient is φ = 509978726400.

The previous prime is 2032123010191. The next prime is 2032123010233. The reversal of 2032123010220 is 220103212302.

2032123010220 is a `hidden beast` number, since 20 + 321 + 2 + 301 + 0 + 2 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2032123010193 and 2032123010202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48593320 + ... + 48635120.

It is an arithmetic number, because the mean of its divisors is an integer number (45328249512).

Almost surely, 22032123010220 is an apocalyptic number.

2032123010220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2032123010220 is an abundant number, since it is smaller than the sum of its proper divisors (4495144919508).

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

2032123010220 is a wasteful number, since it uses less digits than its factorization.

2032123010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57720 (or 57715 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2032123010220 its reverse (220103212302), we get a palindrome (2252226222522).

The spelling of 2032123010220 in words is "two trillion, thirty-two billion, one hundred twenty-three million, ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 15887 31774 41801 47661 63548 79435 83602 95322 125403 142983 158870 167204 190644 209005 238305 250806 270079 285966 317740 376209 418010 476610 501612 540158 571932 627015 710617 714915 752418 810237 836020 953220 1080316 1254030 1350395 1421234 1429830 1504836 1620474 1881045 2131851 2430711 2508060 2700790 2842468 2859660 3240948 3553085 3762090 4051185 4263702 4861422 5401580 6395553 7106170 7524180 8102370 8527404 9722844 10659255 12153555 12791106 14212340 16204740 21318510 24307110 25582212 31977765 42637020 48614220 63955530 127911060 664092487 1328184974 1992277461 2656369948 3320462435 3984554922 5976832383 6640924870 7969109844 9961387305 11289572279 11953664766 13281849740 19922774610 22579144558 23907329532 29884161915 33868716837 39845549220 45158289116 56447861395 59768323830 67737433674 101606150511 112895722790 119536647660 135474867348 169343584185 203212301022 225791445580 338687168370 406424602044 508030752555 677374336740 1016061505110 2032123010220