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30120001220100 = 223521141222616417
BaseRepresentation
bin1101101100100110110111…
…11110010010111000000100
310221122102222200011100122110
412312103123332102320010
512421441230303020400
6144020534301501020
76226045465052601
oct666233376227004
9127572880140573
1030120001220100
119662903509920
12346555b571770
1313a63c4962a6c
14761b5c92d6a8
15373754e20e50
hex1b64dbf92e04

30120001220100 has 144 divisors (see below), whose sum is σ = 97388449615296. Its totient is φ = 7123725312000.

The previous prime is 30120001220093. The next prime is 30120001220167. The reversal of 30120001220100 is 102210002103.

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

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, 111172909 + ... + 111443508.

It is an arithmetic number, because the mean of its divisors is an integer number (676308677884).

Almost surely, 230120001220100 is an apocalyptic number.

30120001220100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30120001220100 is an abundant number, since it is smaller than the sum of its proper divisors (67268448395196).

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

30120001220100 is a wasteful number, since it uses less digits than its factorization.

30120001220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222616486 (or 222616479 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 30120001220100 its reverse (102210002103), we get a palindrome (30222211222203).

The spelling of 30120001220100 in words is "thirty trillion, one hundred twenty billion, one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 41 44 50 55 60 66 75 82 100 110 123 132 150 164 165 205 220 246 275 300 330 410 451 492 550 615 660 820 825 902 1025 1100 1230 1353 1650 1804 2050 2255 2460 2706 3075 3300 4100 4510 5412 6150 6765 9020 11275 12300 13530 22550 27060 33825 45100 67650 135300 222616417 445232834 667849251 890465668 1113082085 1335698502 2226164170 2448780587 2671397004 3339246255 4452328340 4897561174 5565410425 6678492510 7346341761 9127273097 9795122348 11130820850 12243902935 13356985020 14692683522 16696231275 18254546194 22261641700 24487805870 27381819291 29385367044 33392462550 36509092388 36731708805 45636365485 48975611740 54763638582 61219514675 66784925100 73463417610 91272730970 100400004067 109527277164 122439029350 136909096455 146926835220 182545461940 183658544025 200800008134 228181827425 244878058700 273818192910 301200012201 367317088050 401600016268 456363654850 502000020335 547636385820 602400024402 684545482275 734634176100 912727309700 1004000040670 1204800048804 1369090964550 1506000061005 2008000081340 2510000101675 2738181929100 3012000122010 5020000203350 6024000244020 7530000305025 10040000406700 15060000610050 30120001220100