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30232013020 = 225111953136463
BaseRepresentation
bin11100001001111101…
…111110100011011100
32220000220212101101221
4130021331332203130
5443403343404040
621515520543124
72120114604436
oct341175764334
986026771357
1030232013020
1111904201930
125a38781aa4
132b0a47a701
14166b1a1656
15bbe1a874a
hex709f7e8dc

30232013020 has 96 divisors (see below), whose sum is σ = 74280084480. Its totient is φ = 10218274560.

The previous prime is 30232012997. The next prime is 30232013023. The reversal of 30232013020 is 2031023203.

It is a super-2 number, since 2×302320130202 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30232012985 and 30232013003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30232013023) 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, 153309 + ... + 289771.

It is an arithmetic number, because the mean of its divisors is an integer number (773750880).

Almost surely, 230232013020 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 30232013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37140042240).

30232013020 is an abundant number, since it is smaller than the sum of its proper divisors (44048071460).

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

30232013020 is a wasteful number, since it uses less digits than its factorization.

30232013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136555 (or 136553 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 30232013020 its reverse (2031023203), we get a palindrome (32263036223).

The spelling of 30232013020 in words is "thirty billion, two hundred thirty-two million, thirteen thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 53 55 76 95 106 110 190 209 212 220 265 380 418 530 583 836 1007 1045 1060 1166 2014 2090 2332 2915 4028 4180 5035 5830 10070 11077 11660 20140 22154 44308 55385 110770 136463 221540 272926 545852 682315 1364630 1501093 2592797 2729260 3002186 5185594 6004372 7232539 7505465 10371188 12963985 14465078 15010930 25927970 28520767 28930156 30021860 36162695 51855940 57041534 72325390 79557929 114083068 137418241 142603835 144650780 159115858 274836482 285207670 318231716 397789645 549672964 570415340 687091205 795579290 1374182410 1511600651 1591158580 2748364820 3023201302 6046402604 7558003255 15116006510 30232013020