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100030202020 = 22577313771443
BaseRepresentation
bin101110100101001000…
…0111100000010100100
3100120012021110202122001
41131022100330002210
53114330212431040
6113541522215044
710140561455020
oct1351220740244
9316167422561
10100030202020
1139471494351
1217477ab4484
139581b55668
144bad083380
152906c0359a
hex174a43c0a4

100030202020 has 96 divisors (see below), whose sum is σ = 245140939008. Its totient is φ = 33578883072.

The previous prime is 100030202017. The next prime is 100030202033. The reversal of 100030202020 is 20202030001.

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 = 100030201988 and 100030202006.

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, 1364419 + ... + 1435861.

It is an arithmetic number, because the mean of its divisors is an integer number (2553551448).

Almost surely, 2100030202020 is an apocalyptic number.

100030202020 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 100030202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122570469504).

100030202020 is an abundant number, since it is smaller than the sum of its proper divisors (145110736988).

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

100030202020 is a wasteful number, since it uses less digits than its factorization.

100030202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71669 (or 71667 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 100030202020 its reverse (20202030001), we get a palindrome (120232232021).

The spelling of 100030202020 in words is "one hundred billion, thirty million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 137 140 146 274 292 365 511 548 685 730 959 1022 1370 1460 1918 2044 2555 2740 3836 4795 5110 9590 10001 10220 19180 20002 40004 50005 70007 71443 100010 140014 142886 200020 280028 285772 350035 357215 500101 700070 714430 1000202 1400140 1428860 2000404 2500505 5001010 5215339 9787691 10002020 10430678 19575382 20861356 26076695 36507373 39150764 48938455 52153390 68513837 73014746 97876910 104306780 137027674 146029492 182536865 195753820 274055348 342569185 365073730 685138370 714501443 730147460 1370276740 1429002886 2858005772 3572507215 5001510101 7145014430 10003020202 14290028860 20006040404 25007550505 50015101010 100030202020