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30002210122300 = 225213211486122501
BaseRepresentation
bin1101101001001011011110…
…00100111010101000111100
310221020011221121102121022121
412310211233010322220330
512413024011242403200
6143450454113452324
76214405510204363
oct664455704725074
9127204847377277
1030002210122300
119617958504709
1234467675710a4
1313982722a6020
1475a186b007da
1537065dd44e1a
hex1b496f13aa3c

30002210122300 has 144 divisors (see below), whose sum is σ = 70462768920544. Its totient is φ = 11022480000000.

The previous prime is 30002210122273. The next prime is 30002210122301. The reversal of 30002210122300 is 322101220003.

It is a super-2 number, since 2×300022101223002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30002210122301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1333361050 + ... + 1333383550.

Almost surely, 230002210122300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30002210122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35231384460272).

30002210122300 is an abundant number, since it is smaller than the sum of its proper divisors (40460558798244).

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

30002210122300 is a wasteful number, since it uses less digits than its factorization.

30002210122300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27600 (or 27593 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 30002210122300 its reverse (322101220003), we get a palindrome (30324311342303).

The spelling of 30002210122300 in words is "thirty trillion, two billion, two hundred ten million, one hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 211 260 325 422 650 844 1055 1300 2110 2743 4220 4861 5275 5486 9722 10550 10972 13715 19444 21100 22501 24305 27430 45002 48610 54860 63193 68575 90004 97220 112505 121525 126386 137150 225010 243050 252772 274300 292513 315965 450020 486100 562525 585026 631930 1025671 1125050 1170052 1263860 1462565 1579825 2051342 2250100 2925130 3159650 4102684 4747711 5128355 5850260 6319300 7312825 9495422 10256710 13333723 14625650 18990844 20513420 23738555 25641775 26667446 29251300 47477110 51283550 53334892 61720243 66668615 94954220 102567100 109377361 118692775 123440486 133337230 218754722 237385550 246880972 266674460 308601215 333343075 437509444 474771100 546886805 617202430 666686150 1093773610 1234404860 1333372300 1421905693 1543006075 2187547220 2734434025 2843811386 3086012150 5468868050 5687622772 6172024300 7109528465 10937736100 14219056930 23078623171 28438113860 35547642325 46157246342 71095284650 92314492684 115393115855 142190569300 230786231710 300022101223 461572463420 576965579275 600044202446 1153931158550 1200088404892 1500110506115 2307862317100 3000221012230 6000442024460 7500552530575 15001105061150 30002210122300