Search a number
-
+
31227570120 = 23352366117117
BaseRepresentation
bin11101000101010011…
…101110011111001000
32222121022011221000010
4131011103232133020
51002423224220440
622202403111520
72153563652325
oct350523563710
988538157003
1031227570120
111227517069a
1260760725a0
132c387c0556
1417234b3b4c
15c2b7ad580
hex7454ee7c8

31227570120 has 128 divisors (see below), whose sum is σ = 97909482240. Its totient is φ = 7952778240.

The previous prime is 31227570107. The next prime is 31227570131. The reversal of 31227570120 is 2107572213.

It is a super-2 number, since 2×312275701202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1815802 + ... + 1832918.

It is an arithmetic number, because the mean of its divisors is an integer number (764917830).

Almost surely, 231227570120 is an apocalyptic number.

31227570120 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 31227570120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48954741120).

31227570120 is an abundant number, since it is smaller than the sum of its proper divisors (66681912120).

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

31227570120 is a wasteful number, since it uses less digits than its factorization.

31227570120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17815 (or 17811 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The spelling of 31227570120 in words is "thirty-one billion, two hundred twenty-seven million, five hundred seventy thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 661 690 920 1322 1380 1983 2644 2760 3305 3966 5288 6610 7932 9915 13220 15203 15864 17117 19830 26440 30406 34234 39660 45609 51351 60812 68468 76015 79320 85585 91218 102702 121624 136936 152030 171170 182436 205404 228045 256755 304060 342340 364872 393691 410808 456090 513510 608120 684680 787382 912180 1027020 1181073 1574764 1824360 1968455 2054040 2362146 3149528 3936910 4724292 5905365 7873820 9448584 11314337 11810730 15747640 22628674 23621460 33943011 45257348 47242920 56571685 67886022 90514696 113143370 135772044 169715055 226286740 260229751 271544088 339430110 452573480 520459502 678860220 780689253 1040919004 1301148755 1357720440 1561378506 2081838008 2602297510 3122757012 3903446265 5204595020 6245514024 7806892530 10409190040 15613785060 31227570120