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204124430000 = 2454173117991
BaseRepresentation
bin1011111000011011000…
…0111001111010110000
3201111212210010102211002
42332012300321322300
511321021323230000
6233435022541132
720514252012161
oct2760660717260
9644783112732
10204124430000
1179628a12537
1233688a377a8
1316330958cba
149c45b85768
15549a5c78d5
hex2f86c39eb0

204124430000 has 100 divisors (see below), whose sum is σ = 497066550288. Its totient is φ = 81177120000.

The previous prime is 204124429973. The next prime is 204124430141. The reversal of 204124430000 is 34421402.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1671005 + ... + 1788995.

Almost surely, 2204124430000 is an apocalyptic number.

204124430000 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 204124430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248533275144).

204124430000 is an abundant number, since it is smaller than the sum of its proper divisors (292942120288).

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

204124430000 is a wasteful number, since it uses less digits than its factorization.

204124430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118192 (or 118171 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 204124430000 its reverse (34421402), we get a palindrome (204158851402).

The spelling of 204124430000 in words is "two hundred four billion, one hundred twenty-four million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 173 200 250 346 400 500 625 692 865 1000 1250 1384 1730 2000 2500 2768 3460 4325 5000 6920 8650 10000 13840 17300 21625 34600 43250 69200 86500 108125 117991 173000 216250 235982 346000 432500 471964 589955 865000 943928 1179910 1730000 1887856 2359820 2949775 4719640 5899550 9439280 11799100 14748875 20412443 23598200 29497750 40824886 47196400 58995500 73744375 81649772 102062215 117991000 147488750 163299544 204124430 235982000 294977500 326599088 408248860 510311075 589955000 816497720 1020622150 1179910000 1632995440 2041244300 2551555375 4082488600 5103110750 8164977200 10206221500 12757776875 20412443000 25515553750 40824886000 51031107500 102062215000 204124430000