Search a number
-
+
300221011120 = 24523615634751
BaseRepresentation
bin1000101111001101001…
…00010001010010110000
31001200220220210120000011
410113212210101102300
514404323034323440
6345530350104304
730455520326542
oct4274644212260
91050826716004
10300221011120
11106360a30218
124a2274ab094
1322406861614
1410760633692
157c21cb89ea
hex45e69114b0

300221011120 has 160 divisors (see below), whose sum is σ = 741773666304. Its totient is φ = 112759680000.

The previous prime is 300221011117. The next prime is 300221011133. The reversal of 300221011120 is 21110122003.

It is a self number, because there is not a number n which added to its sum of digits gives 300221011120.

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, 63188745 + ... + 63193495.

Almost surely, 2300221011120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300221011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370886833152).

300221011120 is an abundant number, since it is smaller than the sum of its proper divisors (441552655184).

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

300221011120 is a wasteful number, since it uses less digits than its factorization.

300221011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5411 (or 5405 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 300221011120 its reverse (21110122003), we get a palindrome (321331133123).

The spelling of 300221011120 in words is "three hundred billion, two hundred twenty-one million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 61 80 92 115 122 184 230 244 305 368 460 488 563 610 920 976 1126 1220 1403 1840 2252 2440 2806 2815 4504 4751 4880 5612 5630 7015 9008 9502 11224 11260 12949 14030 19004 22448 22520 23755 25898 28060 34343 38008 45040 47510 51796 56120 64745 68686 76016 95020 103592 109273 112240 129490 137372 171715 190040 207184 218546 258980 274744 289811 343430 380080 437092 517960 546365 549488 579622 686860 789889 874184 1035920 1092730 1159244 1373720 1449055 1579778 1748368 2185460 2318488 2674813 2747440 2898110 3159556 3949445 4370920 4636976 5349626 5796220 6319112 6665653 7898890 8741840 10699252 11592440 12638224 13331306 13374065 15797780 21398504 23184880 26662612 26748130 31595560 33328265 42797008 53325224 53496260 61520699 63191120 66656530 106650448 106992520 123041398 133313060 163163593 213985040 246082796 266626120 307603495 326327186 492165592 533252240 615206990 652654372 815817965 984331184 1230413980 1305308744 1631635930 2460827960 2610617488 3263271860 3752762639 4921655920 6526543720 7505525278 13053087440 15011050556 18763813195 30022101112 37527626390 60044202224 75055252780 150110505560 300221011120