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30101322000 = 2435317295111
BaseRepresentation
bin11100000010001011…
…011011100100010000
32212200210221121000210
4130002023123210100
5443121414301000
621454531444120
72113640005161
oct340213334420
985623847023
1030101322000
1111847458822
125a00a56640
132ab937c549
141657aa1768
15bb2990350
hex7022db910

30101322000 has 160 divisors (see below), whose sum is σ = 102755637504. Its totient is φ = 7554816000.

The previous prime is 30101321993. The next prime is 30101322001. The reversal of 30101322000 is 22310103.

It is a happy number.

It is a super-2 number, since 2×301013220002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (30101322001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45556 + ... + 249555.

Almost surely, 230101322000 is an apocalyptic number.

30101322000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30101322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51377818752).

30101322000 is an abundant number, since it is smaller than the sum of its proper divisors (72654315504).

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

30101322000 is a wasteful number, since it uses less digits than its factorization.

30101322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295154 (or 295138 counting only the distinct ones).

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

Adding to 30101322000 its reverse (22310103), we get a palindrome (30123632103).

The spelling of 30101322000 in words is "thirty billion, one hundred one million, three hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 125 136 150 170 200 204 240 250 255 272 300 340 375 400 408 425 500 510 600 680 750 816 850 1000 1020 1200 1275 1360 1500 1700 2000 2040 2125 2550 3000 3400 4080 4250 5100 6000 6375 6800 8500 10200 12750 17000 20400 25500 34000 51000 102000 295111 590222 885333 1180444 1475555 1770666 2360888 2951110 3541332 4426665 4721776 5016887 5902220 7082664 7377775 8853330 10033774 11804440 14165328 14755550 15050661 17706660 20067548 22133325 23608880 25084435 29511100 30101322 35413320 36888875 40135096 44266650 50168870 59022200 60202644 70826640 73777750 75253305 80270192 88533300 100337740 110666625 118044400 120405288 125422175 147555500 150506610 177066600 200675480 221333250 240810576 250844350 295111000 301013220 354133200 376266525 401350960 442666500 501688700 590222000 602026440 627110875 752533050 885333000 1003377400 1204052880 1254221750 1505066100 1770666000 1881332625 2006754800 2508443500 3010132200 3762665250 5016887000 6020264400 7525330500 10033774000 15050661000 30101322000