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330101132130 = 232571124330331
BaseRepresentation
bin1001100110110111000…
…11111000101101100010
31011120001022111222022200
410303123203320231202
520402021342212010
6411351340514030
732564133220140
oct4633343705542
91146038458280
10330101132130
11117aa4535400
1253b8624b916
13251891428b3
1411d96b94590
1588c0112cc0
hex4cdb8f8b62

330101132130 has 144 divisors (see below), whose sum is σ = 1078148740032. Its totient is φ = 68592427200.

The previous prime is 330101132117. The next prime is 330101132131. The reversal of 330101132130 is 31231101033.

It is a happy number.

330101132130 is a `hidden beast` number, since 3 + 301 + 0 + 11 + 321 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (330101132131) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2088936 + ... + 2241395.

It is an arithmetic number, because the mean of its divisors is an integer number (7487144028).

Almost surely, 2330101132130 is an apocalyptic number.

330101132130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

330101132130 is an abundant number, since it is smaller than the sum of its proper divisors (748047607902).

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

330101132130 is a wasteful number, since it uses less digits than its factorization.

330101132130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4330373 (or 4330359 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 330101132130 its reverse (31231101033), we get a palindrome (361332233163).

The spelling of 330101132130 in words is "three hundred thirty billion, one hundred one million, one hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 121 126 154 165 198 210 231 242 315 330 363 385 462 495 605 630 693 726 770 847 990 1089 1155 1210 1386 1694 1815 2178 2310 2541 3465 3630 4235 5082 5445 6930 7623 8470 10890 12705 15246 25410 38115 76230 4330331 8660662 12990993 21651655 25981986 30312317 38972979 43303310 47633641 60624634 64954965 77945958 90936951 95267282 129909930 142900923 151561585 181873902 194864895 238168205 272810853 285801846 303123170 333435487 389729790 428702769 454684755 476336410 523970051 545621706 666870974 714504615 857405538 909369510 1000306461 1047940102 1364054265 1429009230 1571910153 1667177435 2000612922 2143513845 2619850255 2728108530 3000919383 3143820306 3334354870 3667790357 4287027690 4715730459 5001532305 5239700510 6001838766 7335580714 7859550765 9431460918 10003064610 11003371071 15004596915 15719101530 18338951785 22006742142 23578652295 30009193830 33010113213 36677903570 47157304590 55016855355 66020226426 110033710710 165050566065 330101132130