Search a number
-
+
31241341220100 = 223521110193733397
BaseRepresentation
bin1110001101001111100010…
…00010111011010100000100
311002121122100210012110001120
413012213301002323110010
513043324231323020400
6150240023553353540
76403053362562564
oct706476102732404
9132548323173046
1031241341220100
119a55418727750
123606945b688b0
13145807991746b
147a0136252da4
153929d40ceca0
hex1c69f10bb504

31241341220100 has 144 divisors (see below), whose sum is σ = 99585361503936. Its totient is φ = 7498671680000.

The previous prime is 31241341220099. The next prime is 31241341220107. The reversal of 31241341220100 is 102214314213.

It is not an unprimeable number, because it can be changed into a prime (31241341220107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46533399 + ... + 47199998.

It is an arithmetic number, because the mean of its divisors is an integer number (691565010444).

Almost surely, 231241341220100 is an apocalyptic number.

31241341220100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31241341220100 is an abundant number, since it is smaller than the sum of its proper divisors (68344020283836).

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

31241341220100 is a wasteful number, since it uses less digits than its factorization.

31241341220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93733526 (or 93733519 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 31241341220100 its reverse (102214314213), we get a palindrome (31343555534313).

The spelling of 31241341220100 in words is "thirty-one trillion, two hundred forty-one billion, three hundred forty-one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 101 110 132 150 165 202 220 275 300 303 330 404 505 550 606 660 825 1010 1100 1111 1212 1515 1650 2020 2222 2525 3030 3300 3333 4444 5050 5555 6060 6666 7575 10100 11110 13332 15150 16665 22220 27775 30300 33330 55550 66660 83325 111100 166650 333300 93733397 187466794 281200191 374933588 468666985 562400382 937333970 1031067367 1124800764 1406000955 1874667940 2062134734 2343334925 2812001910 3093202101 4124269468 4686669850 5155336835 5624003820 6186404202 7030004775 9373339700 9467073097 10310673670 12372808404 14060009550 15466010505 18934146194 20621347340 25776684175 28120019100 28401219291 30932021010 37868292388 47335365485 51553368350 56802438582 61864042020 77330052525 94670730970 103106736700 104137804067 113604877164 142006096455 154660105050 189341461940 208275608134 236676827425 284012192910 309320210100 312413412201 416551216268 473353654850 520689020335 568024385820 624826824402 710030482275 946707309700 1041378040670 1249653648804 1420060964550 1562067061005 2082756081340 2603445101675 2840121929100 3124134122010 5206890203350 6248268244020 7810335305025 10413780406700 15620670610050 31241341220100