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1145243021200 = 245225155720479
BaseRepresentation
bin10000101010100101110…
…011011010111110010000
311001111001221210101012121
4100222211303122332100
5122230424203134300
62234041204304024
7145512122030305
oct20524563327620
94044057711177
101145243021200
11401770913503
12165b576a2014
1383cc4157435
143d6041170ac
151ebcc8e581a
hex10aa5cdaf90

1145243021200 has 120 divisors (see below), whose sum is σ = 2767502868480. Its totient is φ = 455430720000.

The previous prime is 1145243021189. The next prime is 1145243021239. The reversal of 1145243021200 is 21203425411.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55912561 + ... + 55933039.

It is an arithmetic number, because the mean of its divisors is an integer number (23062523904).

Almost surely, 21145243021200 is an apocalyptic number.

1145243021200 is a gapful number since it is divisible by the number (10) 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 1145243021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383751434240).

1145243021200 is an abundant number, since it is smaller than the sum of its proper divisors (1622259847280).

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

1145243021200 is a wasteful number, since it uses less digits than its factorization.

1145243021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21305 (or 21294 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 1145243021200 its reverse (21203425411), we get a palindrome (1166446446611).

The spelling of 1145243021200 in words is "one trillion, one hundred forty-five billion, two hundred forty-three million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 251 400 502 557 1004 1114 1255 2008 2228 2510 2785 4016 4456 5020 5570 6275 8912 10040 11140 12550 13925 20080 20479 22280 25100 27850 40958 44560 50200 55700 81916 100400 102395 111400 139807 163832 204790 222800 279614 327664 409580 511975 559228 699035 819160 1023950 1118456 1398070 1638320 2047900 2236912 2796140 3495175 4095800 5140229 5592280 6990350 8191600 10280458 11184560 11406803 13980700 20560916 22813606 25701145 27961400 41121832 45627212 51402290 55922800 57034015 82243664 91254424 102804580 114068030 128505725 182508848 205609160 228136060 257011450 285170075 411218320 456272120 514022900 570340150 912544240 1028045800 1140680300 2056091600 2281360600 2863107553 4562721200 5726215106 11452430212 14315537765 22904860424 28631075530 45809720848 57262151060 71577688825 114524302120 143155377650 229048604240 286310755300 572621510600 1145243021200