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2301303131220 = 2235349727151169
BaseRepresentation
bin100001011111010000010…
…110110000110001010100
322011000001202211210200110
4201133100112300301110
5300201032100144340
64521112024443020
7325156302601662
oct41372026606124
98130052753613
102301303131220
11807a82693935
12312011919470
13139020356232
147d552ac9c32
153ecdec99680
hex217d05b0c54

2301303131220 has 96 divisors (see below), whose sum is σ = 6471043488000. Its totient is φ = 611076685824.

The previous prime is 2301303131177. The next prime is 2301303131233. The reversal of 2301303131220 is 221313031032.

It is a super-2 number, since 2×23013031312202 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15147796 + ... + 15298964.

It is an arithmetic number, because the mean of its divisors is an integer number (67406703000).

Almost surely, 22301303131220 is an apocalyptic number.

2301303131220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2301303131220 is an abundant number, since it is smaller than the sum of its proper divisors (4169740356780).

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

2301303131220 is a wasteful number, since it uses less digits than its factorization.

2301303131220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152257 (or 152255 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 2301303131220 its reverse (221313031032), we get a palindrome (2522616162252).

The spelling of 2301303131220 in words is "two trillion, three hundred one billion, three hundred three million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 349 698 727 1047 1396 1454 1745 2094 2181 2908 3490 3635 4188 4362 5235 6980 7270 8724 10470 10905 14540 20940 21810 43620 151169 253723 302338 453507 507446 604676 755845 761169 907014 1014892 1268615 1511690 1522338 1814028 2267535 2537230 3023380 3044676 3805845 4535070 5074460 7611690 9070140 15223380 52757981 105515962 109899863 158273943 211031924 219799726 263789905 316547886 329699589 439599452 527579810 549499315 633095772 659399178 791369715 1055159620 1098998630 1318798356 1582739430 1648497945 2197997260 3165478860 3296995890 6593991780 38355052187 76710104374 115065156561 153420208748 191775260935 230130313122 383550521870 460260626244 575325782805 767101043740 1150651565610 2301303131220