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31401401220 = 2234572769083
BaseRepresentation
bin11101001111101010…
…110101101110000100
310000001102021110110000
4131033222311232010
51003302224314340
622231533001300
72161104335460
oct351752655604
9100042243400
1031401401220
11123542aa562
126104323230
132c658145a7
14173c6034a0
15c3bb98d30
hex74fab5b84

31401401220 has 120 divisors (see below), whose sum is σ = 112579879104. Its totient is φ = 7177460544.

The previous prime is 31401401183. The next prime is 31401401249. The reversal of 31401401220 is 2210410413.

31401401220 is a `hidden beast` number, since 3 + 1 + 40 + 1 + 401 + 220 = 666.

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 = 31401401193 and 31401401202.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1373202 + ... + 1395881.

Almost surely, 231401401220 is an apocalyptic number.

31401401220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31401401220 is an abundant number, since it is smaller than the sum of its proper divisors (81178477884).

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

31401401220 is a wasteful number, since it uses less digits than its factorization.

31401401220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2769111 (or 2769100 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 31401401220 its reverse (2210410413), we get a palindrome (33611811633).

The spelling of 31401401220 in words is "thirty-one billion, four hundred one million, four hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 11340 2769083 5538166 8307249 11076332 13845415 16614498 19383581 24921747 27690830 33228996 38767162 41536245 49843494 55381660 58150743 74765241 77534324 83072490 96917905 99686988 116301486 124608735 149530482 166144980 174452229 193835810 224295723 232602972 249217470 290753715 299060964 348904458 373826205 387671620 448591446 498434940 523356687 581507430 697808916 747652410 872261145 897182892 1046713374 1121478615 1163014860 1495304820 1570070061 1744522290 2093426748 2242957230 2616783435 3140140122 3489044580 4485914460 5233566870 6280280244 7850350305 10467133740 15700700610 31401401220