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131010231330 = 23351185351713
BaseRepresentation
bin111101000000011010…
…0010111110000100010
3110112011022212022111000
41322000310113300202
54121302104400310
6140104003532430
712315361410126
oct1720064276042
9415138768430
10131010231330
1150619950960
122148308a116
13c47b284954
1464ab71b586
15361b8b64c0
hex1e80d17c22

131010231330 has 128 divisors (see below), whose sum is σ = 381574851840. Its totient is φ = 31722209280.

The previous prime is 131010231311. The next prime is 131010231337. The reversal of 131010231330 is 33132010131.

It is a happy number.

131010231330 is a `hidden beast` number, since 1 + 3 + 101 + 0 + 231 + 330 = 666.

It is a super-2 number, since 2×1310102313302 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (131010231337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2507554 + ... + 2559266.

It is an arithmetic number, because the mean of its divisors is an integer number (2981053530).

Almost surely, 2131010231330 is an apocalyptic number.

131010231330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131010231330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190787425920).

131010231330 is an abundant number, since it is smaller than the sum of its proper divisors (250564620510).

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

131010231330 is a wasteful number, since it uses less digits than its factorization.

131010231330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52593 (or 52587 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131010231330 its reverse (33132010131), we get a palindrome (164142241461).

The spelling of 131010231330 in words is "one hundred thirty-one billion, ten million, two hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 853 990 1485 1706 2559 2970 4265 5118 7677 8530 9383 12795 15354 18766 23031 25590 28149 38385 46062 46915 51713 56298 76770 84447 93830 103426 115155 140745 155139 168894 230310 253341 258565 281490 310278 422235 465417 506682 517130 568843 775695 844470 930834 1137686 1266705 1396251 1551390 1706529 2327085 2533410 2792502 2844215 3413058 4654170 5119587 5688430 6981255 8532645 10239174 13962510 15358761 17065290 25597935 30717522 44111189 51195870 76793805 88222378 132333567 153587610 220555945 264667134 397000701 441111890 485223079 661667835 794001402 970446158 1191002103 1323335670 1455669237 1985003505 2382004206 2426115395 2911338474 3970007010 4367007711 4852230790 5955010515 7278346185 8734015422 11910021030 13101023133 14556692370 21835038555 26202046266 43670077110 65505115665 131010231330