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100210030030 = 251137671792053
BaseRepresentation
bin101110101010011111…
…0111011010111001110
3100120122210211222021201
41131110332323113032
53120212231430110
6114011424420114
710145204125645
oct1352476732716
9316583758251
10100210030030
1139553a49840
121750817763a
1395b0199176
144bc8cd435c
1529178c5b3a
hex1754fbb5ce

100210030030 has 128 divisors (see below), whose sum is σ = 206356999680. Its totient is φ = 34713930240.

The previous prime is 100210030027. The next prime is 100210030057. The reversal of 100210030030 is 30030012001.

It is a super-2 number, since 2×1002100300302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100210029989 and 100210030016.

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, 48810484 + ... + 48812536.

It is an arithmetic number, because the mean of its divisors is an integer number (1612164060).

Almost surely, 2100210030030 is an apocalyptic number.

100210030030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100210030030 is an abundant number, since it is smaller than the sum of its proper divisors (106146969650).

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

100210030030 is a wasteful number, since it uses less digits than its factorization.

100210030030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354.

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 100210030030 its reverse (30030012001), we get a palindrome (130240042031).

The spelling of 100210030030 in words is "one hundred billion, two hundred ten million, thirty thousand, thirty".

Divisors: 1 2 5 10 11 22 37 55 67 74 110 134 179 185 335 358 370 407 670 737 814 895 1474 1790 1969 2035 2053 2479 3685 3938 4070 4106 4958 6623 7370 9845 10265 11993 12395 13246 19690 20530 22583 23986 24790 27269 33115 45166 54538 59965 66230 72853 75961 112915 119930 131923 136345 137551 145706 151922 225830 263846 272690 275102 364265 367487 379805 443741 659615 687755 728530 734974 759610 835571 887482 1319230 1375510 1513061 1671142 1837435 2218705 3026122 3674870 4042357 4177855 4437410 4881151 5089387 7565305 8084714 8355710 9762302 10178774 13597019 15130610 20211785 24405755 24621629 25446935 27194038 40423570 48811510 49243258 50893870 55983257 67985095 111966514 123108145 135970190 149567209 246216290 270837919 279916285 299134418 541675838 559832570 747836045 911000273 1354189595 1495672090 1822000546 2708379190 4555001365 9110002730 10021003003 20042006006 50105015015 100210030030