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204513104100 = 223524349931771
BaseRepresentation
bin1011111001110111101…
…1100101000011100100
3201112212212111010110010
42332131323211003210
511322320323312400
6233541345330220
720530011462624
oct2763573450344
9645785433403
10204513104100
11798083520a8
1233777036970
1316393333386
149c8163c884
1554be7a0450
hex2f9dee50e4

204513104100 has 144 divisors (see below), whose sum is σ = 606718112000. Its totient is φ = 53160105600.

The previous prime is 204513104071. The next prime is 204513104101. The reversal of 204513104100 is 1401315402.

It is not an unprimeable number, because it can be changed into a prime (204513104101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6421215 + ... + 6452985.

Almost surely, 2204513104100 is an apocalyptic number.

204513104100 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 204513104100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303359056000).

204513104100 is an abundant number, since it is smaller than the sum of its proper divisors (402205007900).

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

204513104100 is a wasteful number, since it uses less digits than its factorization.

204513104100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32330 (or 32323 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 204513104100 its reverse (1401315402), we get a palindrome (205914419502).

The spelling of 204513104100 in words is "two hundred four billion, five hundred thirteen million, one hundred four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 499 516 645 860 998 1075 1290 1497 1996 2150 2495 2580 2994 3225 4300 4990 5988 6450 7485 9980 12475 12900 14970 21457 24950 29940 31771 37425 42914 49900 63542 64371 74850 85828 95313 107285 127084 128742 149700 158855 190626 214570 257484 317710 321855 381252 429140 476565 536425 635420 643710 794275 953130 1072850 1287420 1366153 1588550 1609275 1906260 2145700 2382825 2732306 3177100 3218550 4098459 4765650 5464612 6437100 6830765 8196918 9531300 13661530 15853729 16393836 20492295 27323060 31707458 34153825 40984590 47561187 63414916 68307650 79268645 81969180 95122374 102461475 136615300 158537290 190244748 204922950 237805935 317074580 396343225 409845900 475611870 681710347 792686450 951223740 1189029675 1363420694 1585372900 2045131041 2378059350 2726841388 3408551735 4090262082 4756118700 6817103470 8180524164 10225655205 13634206940 17042758675 20451310410 34085517350 40902620820 51128276025 68171034700 102256552050 204513104100