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203120001111120 = 243537224310197893
BaseRepresentation
bin101110001011110010001111…
…100000110101010001010000
3222122012002020010011101200120
4232023302033200311101100
5203110404230241023440
62000000012413150240
760532635660222462
oct5613621740652120
9878162203141616
10203120001111120
11597a1788332a25
121a94602548b380
1389451982a4ac2
1438230bc072132
15187393d907dd0
hexb8bc8f835450

203120001111120 has 160 divisors (see below), whose sum is σ = 646978543972992. Its totient is φ = 52677904582656.

The previous prime is 203120001111091. The next prime is 203120001111161. The reversal of 203120001111120 is 21111100021302.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 203120001111120.

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, 14818894 + ... + 25016786.

Almost surely, 2203120001111120 is an apocalyptic number.

203120001111120 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 203120001111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323489271986496).

203120001111120 is an abundant number, since it is smaller than the sum of its proper divisors (443858542861872).

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

203120001111120 is a wasteful number, since it uses less digits than its factorization.

203120001111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10200189 (or 10200183 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 203120001111120 its reverse (21111100021302), we get a palindrome (224231101132422).

The spelling of 203120001111120 in words is "two hundred three trillion, one hundred twenty billion, one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2243 2960 4440 4486 6729 8880 8972 11215 13458 17944 22430 26916 33645 35888 44860 53832 67290 82991 89720 107664 134580 165982 179440 248973 269160 331964 414955 497946 538320 663928 829910 995892 1244865 1327856 1659820 1991784 2489730 3319640 3983568 4979460 6639280 9958920 10197893 19917840 20395786 30593679 40791572 50989465 61187358 81583144 101978930 122374716 152968395 163166288 203957860 244749432 305936790 377322041 407915720 489498864 611873580 754644082 815831440 1131966123 1223747160 1509288164 1886610205 2263932246 2447494320 3018576328 3773220410 4527864492 5659830615 6037152656 7546440820 9055728984 11319661230 15092881640 18111457968 22639322460 22873873999 30185763280 45278644920 45747747998 68621621997 90557289840 91495495996 114369369995 137243243994 182990991992 228738739990 274486487988 343108109985 365981983984 457477479980 548972975976 686216219970 846333337963 914954959960 1097945951952 1372432439940 1692666675926 1829909919920 2539000013889 2744864879880 3385333351852 4231666689815 5078000027778 5489729759760 6770666703704 8463333379630 10156000055556 12695000069445 13541333407408 16926666759260 20312000111112 25390000138890 33853333518520 40624000222224 50780000277780 67706667037040 101560000555560 203120001111120