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100230110303310 = 233513191149505691
BaseRepresentation
bin10110110010100010100100…
…000111101101010001001110
3111010212220102201110002212000
4112302202210013231101032
5101114132231214201220
6553101024345053130
730053246366352141
oct2662424407552116
9433786381402760
10100230110303310
1129a333952aa969
12b2a93251871a6
1343c087463a630
141aa723dc52058
15b8c3363aa390
hex5b28a41ed44e

100230110303310 has 128 divisors (see below), whose sum is σ = 289347336069120. Its totient is φ = 24542854070400.

The previous prime is 100230110303287. The next prime is 100230110303321. The reversal of 100230110303310 is 13303011032001.

It is a happy number.

100230110303310 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 301 + 1 + 0 + 30 + 331 + 0 = 666.

It is a super-2 number, since 2×1002301103033102 (a number of 29 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74082436 + ... + 75423255.

It is an arithmetic number, because the mean of its divisors is an integer number (2260526063040).

Almost surely, 2100230110303310 is an apocalyptic number.

100230110303310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100230110303310 is an abundant number, since it is smaller than the sum of its proper divisors (189117225765810).

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

100230110303310 is a wasteful number, since it uses less digits than its factorization.

100230110303310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149505911 (or 149505905 counting only the distinct ones).

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

Adding to 100230110303310 its reverse (13303011032001), we get a palindrome (113533121335311).

The spelling of 100230110303310 in words is "one hundred trillion, two hundred thirty billion, one hundred ten million, three hundred three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 191 195 234 270 351 382 390 573 585 702 955 1146 1170 1719 1755 1910 2483 2865 3438 3510 4966 5157 5730 7449 8595 10314 12415 14898 17190 22347 24830 25785 37245 44694 51570 67041 74490 111735 134082 223470 335205 670410 149505691 299011382 448517073 747528455 897034146 1345551219 1495056910 1943573983 2242585365 2691102438 3887147966 4036653657 4485170730 5830721949 6727756095 8073307314 9717869915 11661443898 13455512190 17492165847 19435739830 20183268285 28555586981 29153609745 34984331694 40366536570 52476497541 57111173962 58307219490 85666760943 87460829235 104952995082 142777934905 171333521886 174921658470 257000282829 262382487705 285555869810 371222630753 428333804715 514000565658 524764975410 742445261506 771000848487 856667609430 1113667892259 1285001414145 1542001696974 1856113153765 2227335784518 2570002828290 3341003676777 3712226307530 3855004242435 5568339461295 6682007353554 7710008484870 10023011030331 11136678922590 16705018383885 20046022060662 33410036767770 50115055151655 100230110303310