Search a number
-
+
203123312010 = 23452239771151
BaseRepresentation
bin1011110100101100010…
…1111100010110001010
3201102022000100101010000
42331023011330112022
511311444031441020
6233151421303430
720450404443633
oct2751305742612
9642260311100
10203123312010
11791648a57a3
1233449704b76
1316201419ca8
149b8cc2688a
15543c775090
hex2f4b17c58a

203123312010 has 160 divisors (see below), whose sum is σ = 549663916032. Its totient is φ = 53821324800.

The previous prime is 203123312009. The next prime is 203123312033. The reversal of 203123312010 is 10213321302.

203123312010 is a `hidden beast` number, since 2 + 0 + 312 + 331 + 20 + 1 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 176474935 + ... + 176476085.

Almost surely, 2203123312010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203123312010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274831958016).

203123312010 is an abundant number, since it is smaller than the sum of its proper divisors (346540604022).

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

203123312010 is a wasteful number, since it uses less digits than its factorization.

203123312010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 203123312010 its reverse (10213321302), we get a palindrome (213336633312).

The spelling of 203123312010 in words is "two hundred three billion, one hundred twenty-three million, three hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 223 270 405 446 669 810 977 1115 1151 1338 1954 2007 2230 2302 2931 3345 3453 4014 4885 5755 5862 6021 6690 6906 8793 9770 10035 10359 11510 12042 14655 17265 17586 18063 20070 20718 26379 29310 30105 31077 34530 36126 43965 51795 52758 60210 62154 79137 87930 90315 93231 103590 131895 155385 158274 180630 186462 217871 256673 263790 310770 395685 435742 466155 513346 653613 770019 791370 932310 1089355 1124527 1283365 1307226 1540038 1960839 2178710 2249054 2310057 2566730 3268065 3373581 3850095 3921678 4620114 5622635 5882517 6536130 6747162 6930171 7700190 9804195 10120743 11245270 11550285 11765034 13860342 16867905 17647551 19608390 20241486 20790513 23100570 29412585 30362229 33735810 34650855 35295102 41581026 50603715 58825170 60724458 69301710 88237755 91086687 101207430 103952565 151811145 176475510 182173374 207905130 250769521 303622290 455433435 501539042 752308563 910866870 1253847605 1504617126 2256925689 2507695210 3761542815 4513851378 6770777067 7523085630 11284628445 13541554134 20312331201 22569256890 33853885335 40624662402 67707770670 101561656005 203123312010