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30022011120 = 24355311172113
BaseRepresentation
bin11011111101011100…
…111000100011110000
32212111021201011221210
4123331130320203300
5442441113323440
621443015520120
72111654612133
oct337534704360
985437634853
1030022011120
1111806708342
12599a389040
132aa5b00a2a
14164b33821a
15baaa25a80
hex6fd7388f0

30022011120 has 160 divisors (see below), whose sum is σ = 94954047552. Its totient is φ = 7844069376.

The previous prime is 30022011109. The next prime is 30022011133. The reversal of 30022011120 is 2111022003.

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

It is a junction number, because it is equal to n+sod(n) for n = 30022011096 and 30022011105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14207184 + ... + 14209296.

Almost surely, 230022011120 is an apocalyptic number.

30022011120 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 30022011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47477023776).

30022011120 is an abundant number, since it is smaller than the sum of its proper divisors (64932036432).

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

30022011120 is a wasteful number, since it uses less digits than its factorization.

30022011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3299 (or 3293 counting only the distinct ones).

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

Adding to 30022011120 its reverse (2111022003), we get a palindrome (32133033123).

The spelling of 30022011120 in words is "thirty billion, twenty-two million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1117 1272 1590 2113 2120 2234 2544 3180 3351 4226 4240 4468 5585 6339 6360 6702 8452 8936 10565 11170 12678 12720 13404 16755 16904 17872 21130 22340 25356 26808 31695 33510 33808 42260 44680 50712 53616 59201 63390 67020 84520 89360 101424 111989 118402 126780 134040 169040 177603 223978 236804 253560 268080 296005 335967 355206 447956 473608 507120 559945 592010 671934 710412 888015 895912 947216 1119890 1184020 1343868 1420824 1679835 1776030 1791824 2239780 2360221 2368040 2687736 2841648 3359670 3552060 4479560 4720442 4736080 5375472 6719340 7080663 7104120 8959120 9440884 11801105 13438680 14161326 14208240 18881768 23602210 26877360 28322652 35403315 37763536 47204420 56645304 70806630 94408840 113290608 125091713 141613260 188817680 250183426 283226520 375275139 500366852 566453040 625458565 750550278 1000733704 1250917130 1501100556 1876375695 2001467408 2501834260 3002201112 3752751390 5003668520 6004402224 7505502780 10007337040 15011005560 30022011120