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100241244120 = 23353149154881
BaseRepresentation
bin101110101011011010…
…1111111111111011000
3100120201222120210222010
41131112311333333120
53120243224302440
6114014501425520
710146033342063
oct1352665777730
9316658523863
10100241244120
113956a629406
121751670b2a0
1395b67a7944
144bcd0db8da
15291a4de580
hex1756d7ffd8

100241244120 has 128 divisors (see below), whose sum is σ = 311062394880. Its totient is φ = 25815552000.

The previous prime is 100241244119. The next prime is 100241244127. The reversal of 100241244120 is 21442142001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100241244127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1799080 + ... + 1853960.

It is an arithmetic number, because the mean of its divisors is an integer number (2430174960).

Almost surely, 2100241244120 is an apocalyptic number.

100241244120 is a gapful number since it is divisible by the number (10) 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 100241244120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155531197440).

100241244120 is an abundant number, since it is smaller than the sum of its proper divisors (210821150760).

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

100241244120 is a wasteful number, since it uses less digits than its factorization.

100241244120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55417 (or 55413 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 100241244120 its reverse (21442142001), we get a palindrome (121683386121).

The spelling of 100241244120 in words is "one hundred billion, two hundred forty-one million, two hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 491 620 744 930 982 1240 1473 1860 1964 2455 2946 3720 3928 4910 5892 7365 9820 11784 14730 15221 19640 29460 30442 45663 54881 58920 60884 76105 91326 109762 121768 152210 164643 182652 219524 228315 274405 304420 329286 365304 439048 456630 548810 608840 658572 823215 913260 1097620 1317144 1646430 1701311 1826520 2195240 3292860 3402622 5103933 6585720 6805244 8506555 10207866 13610488 17013110 20415732 25519665 26946571 34026220 40831464 51039330 53893142 68052440 80839713 102078660 107786284 134732855 161679426 204157320 215572568 269465710 323358852 404198565 538931420 646717704 808397130 835343701 1077862840 1616794260 1670687402 2506031103 3233588520 3341374804 4176718505 5012062206 6682749608 8353437010 10024124412 12530155515 16706874020 20048248824 25060311030 33413748040 50120622060 100241244120