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221131010320 = 24511833027533
BaseRepresentation
bin1100110111110001101…
…1110111000100010000
3210010210000000020020021
43031330123313010100
512110334014312240
6245330340553224
721655555401043
oct3157433670420
9703700006207
10221131010320
1185865765aa0
1236a343b2814
1317b1111458c
14a9ba698c5a
155b4364e54a
hex337c6f7110

221131010320 has 80 divisors (see below), whose sum is σ = 567626294592. Its totient is φ = 79442439680.

The previous prime is 221131010231. The next prime is 221131010323. The reversal of 221131010320 is 23010131122.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 221131010294 and 221131010303.

It is not an unprimeable number, because it can be changed into a prime (221131010323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1440727 + ... + 1586806.

Almost surely, 2221131010320 is an apocalyptic number.

221131010320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221131010320 is an abundant number, since it is smaller than the sum of its proper divisors (346495284272).

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

221131010320 is a wasteful number, since it uses less digits than its factorization.

221131010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3027640 (or 3027634 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 221131010320 its reverse (23010131122), we get a palindrome (244141141442).

The spelling of 221131010320 in words is "two hundred twenty-one billion, one hundred thirty-one million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 83 88 110 166 176 220 332 415 440 664 830 880 913 1328 1660 1826 3320 3652 4565 6640 7304 9130 14608 18260 36520 73040 3027533 6055066 12110132 15137665 24220264 30275330 33302863 48440528 60550660 66605726 121101320 133211452 166514315 242202640 251285239 266422904 333028630 502570478 532845808 666057260 1005140956 1256426195 1332114520 2010281912 2512852390 2664229040 2764137629 4020563824 5025704780 5528275258 10051409560 11056550516 13820688145 20102819120 22113101032 27641376290 44226202064 55282752580 110565505160 221131010320