Search a number
-
+
100141430220 = 223351314265161
BaseRepresentation
bin101110101000011100…
…1001111010111001100
3100120111000202202001000
41131100321033113030
53120042201231340
6114000534220300
710143412053336
oct1352071172714
9316430682030
10100141430220
1139519254787
12174a91b4690
13959bbcaa70
144bbdb58456
152911874d30
hex1750e4f5cc

100141430220 has 96 divisors (see below), whose sum is σ = 335516610240. Its totient is φ = 24650196480.

The previous prime is 100141430197. The next prime is 100141430303. The reversal of 100141430220 is 22034141001.

100141430220 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 414 + 30 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 100141430193 and 100141430202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7125561 + ... + 7139600.

It is an arithmetic number, because the mean of its divisors is an integer number (3494964690).

Almost surely, 2100141430220 is an apocalyptic number.

100141430220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100141430220 is an abundant number, since it is smaller than the sum of its proper divisors (235375180020).

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

100141430220 is a wasteful number, since it uses less digits than its factorization.

100141430220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14265192 (or 14265184 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100141430220 its reverse (22034141001), we get a palindrome (122175571221).

The spelling of 100141430220 in words is "one hundred billion, one hundred forty-one million, four hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 14265161 28530322 42795483 57060644 71325805 85590966 128386449 142651610 171181932 185447093 213977415 256772898 285303220 370894186 385159347 427954830 513545796 556341279 641932245 741788372 770318694 855909660 927235465 1112682558 1283864490 1540637388 1669023837 1854470930 1925796735 2225365116 2567728980 2781706395 3338047674 3708941860 3851593470 5007071511 5563412790 6676095348 7703186940 8345119185 10014143022 11126825580 16690238370 20028286044 25035357555 33380476740 50070715110 100141430220