Search a number
-
+
130331100202320 = 24353491779319961
BaseRepresentation
bin11101101000100100010010…
…111011100100010101010000
3122002110112100110110021202010
4131220210102323210111100
5114040321043122433240
61141105140400222520
736311053106040663
oct3550442273442520
9562415313407663
10130331100202320
1138589122380876
121274b05990aa40
13579522969a974
1424280b78db6da
151010327257280
hex768912ee4550

130331100202320 has 160 divisors (see below), whose sum is σ = 404214253167744. Its totient is φ = 34738805555200.

The previous prime is 130331100202307. The next prime is 130331100202321. The reversal of 130331100202320 is 23202001133031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130331100202321) 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, 6529277140 + ... + 6529297100.

Almost surely, 2130331100202320 is an apocalyptic number.

130331100202320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130331100202320 is an abundant number, since it is smaller than the sum of its proper divisors (273883152965424).

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

130331100202320 is a wasteful number, since it uses less digits than its factorization.

130331100202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31261 (or 31255 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 130331100202320 its reverse (23202001133031), we get a palindrome (153533101335351).

The spelling of 130331100202320 in words is "one hundred thirty trillion, three hundred thirty-one billion, one hundred million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3491 6982 7793 10473 13964 15586 17455 19961 20946 23379 27928 31172 34910 38965 39922 41892 46758 52365 55856 59883 62344 69820 77930 79844 83784 93516 99805 104730 116895 119766 124688 139640 155860 159688 167568 187032 199610 209460 233790 239532 279280 299415 311720 319376 374064 399220 418920 467580 479064 598830 623440 798440 837840 935160 958128 1197660 1596880 1870320 2395320 4790640 27205363 54410726 69683851 81616089 108821452 136026815 139367702 155556073 163232178 209051553 217642904 272053630 278735404 311112146 326464356 348419255 408080445 418103106 435285808 466668219 544107260 557470808 622224292 652928712 696838510 777780365 816160890 836206212 933336438 1045257765 1088214520 1114941616 1244448584 1305857424 1393677020 1555560730 1632321780 1672412424 1866672876 2090515530 2176429040 2333341095 2488897168 2787354040 3111121460 3264643560 3344824848 3733345752 4181031060 4666682190 5574708080 6222242920 6529287120 7466691504 8362062120 9333364380 12444485840 16724124240 18666728760 37333457520 543046250843 1086092501686 1629138752529 2172185003372 2715231254215 3258277505058 4344370006744 5430462508430 6516555010116 8145693762645 8688740013488 10860925016860 13033110020232 16291387525290 21721850033720 26066220040464 32582775050580 43443700067440 65165550101160 130331100202320