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220301001030 = 235112101600881
BaseRepresentation
bin1100110100101011110…
…1101000000101000110
3210001122011012101112110
43031022331220011012
512102134024013110
6245112131001450
721626156416635
oct3151275500506
9701564171473
10220301001030
118547a198800
1236842439286
1317a0b185416
14a93c35b51c
155ae584aa20
hex334af68146

220301001030 has 96 divisors (see below), whose sum is σ = 586912695264. Its totient is φ = 52877440000.

The previous prime is 220301001029. The next prime is 220301001049. The reversal of 220301001030 is 30100103022.

It is a happy number.

It is a super-2 number, since 2×2203010010302 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220301000997 and 220301001015.

It is a congruent number.

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, 66190 + ... + 667070.

It is an arithmetic number, because the mean of its divisors is an integer number (6113673909).

Almost surely, 2220301001030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220301001030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293456347632).

220301001030 is an abundant number, since it is smaller than the sum of its proper divisors (366611694234).

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

220301001030 is a wasteful number, since it uses less digits than its factorization.

220301001030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601014 (or 601003 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 220301001030 its reverse (30100103022), we get a palindrome (250401104052).

The spelling of 220301001030 in words is "two hundred twenty billion, three hundred one million, one thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 121 165 202 242 303 330 363 505 605 606 726 1010 1111 1210 1515 1815 2222 3030 3333 3630 5555 6666 11110 12221 16665 24442 33330 36663 61105 73326 122210 183315 366630 600881 1201762 1802643 3004405 3605286 6008810 6609691 9013215 13219382 18026430 19829073 33048455 39658146 60688981 66096910 72706601 99145365 121377962 145413202 182066943 198290730 218119803 303444905 363533005 364133886 436239606 606889810 667578791 727066010 910334715 1090599015 1335157582 1820669430 2002736373 2181198030 3337893955 4005472746 6675787910 7343366701 10013681865 14686733402 20027363730 22030100103 36716833505 44060200206 73433667010 110150500515 220301001030