Search a number
-
+
31301303220 = 223251141385579
BaseRepresentation
bin11101001001101100…
…111111101110110100
32222210102220221210200
4131021230333232310
51003101113200340
622213555320500
72155450454535
oct351154775664
988712827720
1031301303220
1112302851440
1260968b0130
132c4ab682c5
14172d1c868c
15c32ec5330
hex749b3fbb4

31301303220 has 144 divisors (see below), whose sum is σ = 106105446720. Its totient is φ = 7403097600.

The previous prime is 31301303213. The next prime is 31301303233. The reversal of 31301303220 is 2230310313.

31301303220 is a `hidden beast` number, since 313 + 0 + 1 + 30 + 322 + 0 = 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 = 31301303193 and 31301303202.

It is a congruent number.

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, 111610 + ... + 273969.

It is an arithmetic number, because the mean of its divisors is an integer number (736843380).

Almost surely, 231301303220 is an apocalyptic number.

31301303220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31301303220 is an abundant number, since it is smaller than the sum of its proper divisors (74804143500).

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

31301303220 is a wasteful number, since it uses less digits than its factorization.

31301303220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385646 (or 385641 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 31301303220 its reverse (2230310313), we get a palindrome (33531613533).

The spelling of 31301303220 in words is "thirty-one billion, three hundred one million, three hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 41 44 45 55 60 66 82 90 99 110 123 132 164 165 180 198 205 220 246 330 369 396 410 451 492 495 615 660 738 820 902 990 1230 1353 1476 1804 1845 1980 2255 2460 2706 3690 4059 4510 5412 6765 7380 8118 9020 13530 16236 20295 27060 40590 81180 385579 771158 1156737 1542316 1927895 2313474 3470211 3855790 4241369 4626948 5783685 6940422 7711580 8482738 11567370 12724107 13880844 15808739 16965476 17351055 21206845 23134740 25448214 31617478 34702110 38172321 42413690 47426217 50896428 63234956 63620535 69404220 76344642 79043695 84827380 94852434 127241070 142278651 152689284 158087390 173896129 189704868 190861605 237131085 254482140 284557302 316174780 347792258 381723210 474262170 521688387 569114604 695584516 711393255 763446420 869480645 948524340 1043376774 1422786510 1565065161 1738961290 2086753548 2608441935 2845573020 3130130322 3477922580 5216883870 6260260644 7825325805 10433767740 15650651610 31301303220