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221431300043130 = 232559329271417487
BaseRepresentation
bin110010010110001111111101…
…111110110011000101111010
31002001000121220000122021222200
4302112033331332303011322
5213010412300302340010
62102540045050531030
764432612016065512
oct6226177576630572
91061017800567880
10221431300043130
116461153a199311
1220a02a52436a76
139672b60993358
143c97491428842
151a8ee09dabcc0
hexc963fdfb317a

221431300043130 has 96 divisors (see below), whose sum is σ = 576889674476544. Its totient is φ = 58928589823488.

The previous prime is 221431300043099. The next prime is 221431300043147. The reversal of 221431300043130 is 31340003134122.

It is a happy number.

221431300043130 is a `hidden beast` number, since 2 + 2 + 1 + 43 + 1 + 300 + 0 + 4 + 313 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 221431300043094 and 221431300043103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155505247 + ... + 156922733.

It is an arithmetic number, because the mean of its divisors is an integer number (6009267442464).

Almost surely, 2221431300043130 is an apocalyptic number.

221431300043130 is an abundant number, since it is smaller than the sum of its proper divisors (355458374433414).

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

221431300043130 is a wasteful number, since it uses less digits than its factorization.

221431300043130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421020 (or 1421017 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 221431300043130 its reverse (31340003134122), we get a palindrome (252771303177252).

The spelling of 221431300043130 in words is "two hundred twenty-one trillion, four hundred thirty-one billion, three hundred million, forty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 593 1186 1779 2927 2965 3558 5337 5854 5930 8781 8895 10674 14635 17562 17790 26343 26685 29270 43905 52686 53370 87810 131715 263430 1417487 1735711 2834974 3471422 4252461 5207133 7087435 8504922 8678555 10414266 12757383 14174870 15621399 17357110 21262305 25514766 26035665 31242798 42524610 52071330 63786915 78106995 127573830 156213990 840569791 1681139582 2521709373 4148984449 4202848955 5043418746 7565128119 8297968898 8405697910 12446953347 12608546865 15130256238 20744922245 24893906694 25217093730 37340860041 37825640595 41489844490 62234766735 74681720082 75651281190 124469533470 186704300205 373408600410 2460347778257 4920695556514 7381043334771 12301738891285 14762086669542 22143130004313 24603477782570 36905216673855 44286260008626 73810433347710 110715650021565 221431300043130