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31220402220 = 223257107231571
BaseRepresentation
bin11101000100111000…
…011000100000101100
32222120210200202111100
4131010320120200230
51002414410332340
622201545323100
72153446016550
oct350470304054
988523622440
1031220402220
1112271115307
126073796490
132c37180aa7
141722569860
15c2ad44830
hex744e1882c

31220402220 has 144 divisors (see below), whose sum is σ = 109242701568. Its totient is φ = 7069368960.

The previous prime is 31220402189. The next prime is 31220402231. The reversal of 31220402220 is 2220402213.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31220402193 and 31220402202.

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, 19035 + ... + 250605.

It is an arithmetic number, because the mean of its divisors is an integer number (758629872).

Almost surely, 231220402220 is an apocalyptic number.

31220402220 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 31220402220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54621350784).

31220402220 is an abundant number, since it is smaller than the sum of its proper divisors (78022299348).

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

31220402220 is a wasteful number, since it uses less digits than its factorization.

31220402220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231700 (or 231695 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 31220402220 its reverse (2220402213), we get a palindrome (33440804433).

The spelling of 31220402220 in words is "thirty-one billion, two hundred twenty million, four hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 107 126 140 180 210 214 252 315 321 420 428 535 630 642 749 963 1070 1260 1284 1498 1605 1926 2140 2247 2996 3210 3745 3852 4494 4815 6420 6741 7490 8988 9630 11235 13482 14980 19260 22470 26964 33705 44940 67410 134820 231571 463142 694713 926284 1157855 1389426 1620997 2084139 2315710 2778852 3241994 3473565 4168278 4631420 4862991 6483988 6947130 8104985 8336556 9725982 10420695 13894260 14588973 16209970 19451964 20841390 24314955 24778097 29177946 32419940 41682780 48629910 49556194 58355892 72944865 74334291 97259820 99112388 123890485 145889730 148668582 173446679 223002873 247780970 291779460 297337164 346893358 371671455 446005746 495561940 520340037 693786716 743342910 867233395 892011492 1040680074 1115014365 1486685820 1561020111 1734466790 2081360148 2230028730 2601700185 3122040222 3468933580 4460057460 5203400370 6244080444 7805100555 10406800740 15610201110 31220402220