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330100020030 = 2351197101102103
BaseRepresentation
bin1001100110110110111…
…11101001001100111110
31011120001020102110210210
410303123133221030332
520402021101120110
6411351301013250
732564120605644
oct4633337511476
91146036373723
10330100020030
11117aa3945910
1253b859b4226
1325188b43651
1411d96985194
1588bee93520
hex4cdb7e933e

330100020030 has 128 divisors (see below), whose sum is σ = 881825688576. Its totient is φ = 78414336000.

The previous prime is 330100020023. The next prime is 330100020037. The reversal of 330100020030 is 30020001033.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (330100020023) and next prime (330100020037).

It is a junction number, because it is equal to n+sod(n) for n = 330100019988 and 330100020015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330100020037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3181959 + ... + 3284061.

It is an arithmetic number, because the mean of its divisors is an integer number (6889263192).

Almost surely, 2330100020030 is an apocalyptic number.

330100020030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 330100020030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440912844288).

330100020030 is an abundant number, since it is smaller than the sum of its proper divisors (551725668546).

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

330100020030 is a wasteful number, since it uses less digits than its factorization.

330100020030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102322.

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 330100020030 its reverse (30020001033), we get a palindrome (360120021063).

The spelling of 330100020030 in words is "three hundred thirty billion, one hundred million, twenty thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 97 101 110 165 194 202 291 303 330 485 505 582 606 970 1010 1067 1111 1455 1515 2134 2222 2910 3030 3201 3333 5335 5555 6402 6666 9797 10670 11110 16005 16665 19594 29391 32010 33330 48985 58782 97970 102103 107767 146955 204206 215534 293910 306309 323301 510515 538835 612618 646602 1021030 1077670 1123133 1531545 1616505 2246266 3063090 3233010 3369399 5615665 6738798 9903991 10312403 11231330 16846995 19807982 20624806 29711973 30937209 33693990 49519955 51562015 59423946 61874418 99039910 103124030 108943901 113436433 148559865 154686045 217887802 226872866 297119730 309372090 326831703 340309299 544719505 567182165 653663406 680618598 1000303091 1089439010 1134364330 1634158515 1701546495 2000606182 3000909273 3268317030 3403092990 5001515455 6001818546 10003030910 11003334001 15004546365 22006668002 30009092730 33010002003 55016670005 66020004006 110033340010 165050010015 330100020030