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101233130120 = 235192343134683
BaseRepresentation
bin101111001000111110…
…1101111101010001000
3100200022002222211202122
41132101331233222020
53124311140130440
6114301133150412
710212436260023
oct1362175575210
9320262884678
10101233130120
1139a29510001
121775292b408
139714133835
144c84b361ba
15297761b7b5
hex1791f6fa88

101233130120 has 128 divisors (see below), whose sum is σ = 256007347200. Its totient is φ = 35840496384.

The previous prime is 101233130093. The next prime is 101233130123. The reversal of 101233130120 is 21031332101.

It is not an unprimeable number, because it can be changed into a prime (101233130123) 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, 684299 + ... + 818981.

It is an arithmetic number, because the mean of its divisors is an integer number (2000057400).

Almost surely, 2101233130120 is an apocalyptic number.

101233130120 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 101233130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128003673600).

101233130120 is an abundant number, since it is smaller than the sum of its proper divisors (154774217080).

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

101233130120 is a wasteful number, since it uses less digits than its factorization.

101233130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134779 (or 134775 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 101233130120 its reverse (21031332101), we get a palindrome (122264462221).

The spelling of 101233130120 in words is "one hundred one billion, two hundred thirty-three million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 23 38 40 43 46 76 86 92 95 115 152 172 184 190 215 230 344 380 430 437 460 760 817 860 874 920 989 1634 1720 1748 1978 2185 3268 3496 3956 4085 4370 4945 6536 7912 8170 8740 9890 16340 17480 18791 19780 32680 37582 39560 75164 93955 134683 150328 187910 269366 375820 538732 673415 751640 1077464 1346830 2558977 2693660 3097709 5117954 5387320 5791369 6195418 10235908 11582738 12390836 12794885 15488545 20471816 23165476 24781672 25589770 28956845 30977090 46330952 51179540 57913690 58856471 61954180 102359080 110036011 115827380 117712942 123908360 133201487 220072022 231654760 235425884 266402974 294282355 440144044 470851768 532805948 550180055 588564710 666007435 880288088 1065611896 1100360110 1177129420 1332014870 2200720220 2354258840 2530828253 2664029740 4401440440 5061656506 5328059480 10123313012 12654141265 20246626024 25308282530 50616565060 101233130120