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30101220 = 22345171093
BaseRepresentation
bin111001011010…
…0111011100100
32002122022010000
41302310323210
530201214340
62553101300
7513566442
oct162647344
962568100
1030101220
1115a9a546
12a0b7830
13630c096
143dd7b92
152998d30
hex1cb4ee4

30101220 has 120 divisors (see below), whose sum is σ = 100074744. Its totient is φ = 7547904.

The previous prime is 30101189. The next prime is 30101221. The reversal of 30101220 is 2210103.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15539364 + 14561856 = 3942^2 + 3816^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30101221) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26994 + ... + 28086.

Almost surely, 230101220 is an apocalyptic number.

30101220 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 30101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50037372).

30101220 is an abundant number, since it is smaller than the sum of its proper divisors (69973524).

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

30101220 is a wasteful number, since it uses less digits than its factorization.

30101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 30101220 is about 5486.4578737105. The cubic root of 30101220 is about 311.0723183868.

Adding to 30101220 its reverse (2210103), we get a palindrome (32311323).

The spelling of 30101220 in words is "thirty million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 255 270 306 324 340 405 459 510 540 612 765 810 918 1020 1093 1377 1530 1620 1836 2186 2295 2754 3060 3279 4372 4590 5465 5508 6558 6885 9180 9837 10930 13116 13770 16395 18581 19674 21860 27540 29511 32790 37162 39348 49185 55743 59022 65580 74324 88533 92905 98370 111486 118044 147555 167229 177066 185810 196740 222972 278715 295110 334458 354132 371620 442665 501687 557430 590220 668916 836145 885330 1003374 1114860 1505061 1672290 1770660 2006748 2508435 3010122 3344580 5016870 6020244 7525305 10033740 15050610 30101220