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10100021100 = 22352132589749
BaseRepresentation
bin10010110100000001…
…00001011101101100
3222001212222020021120
421122000201131230
5131141101133400
64350114300540
7505200522441
oct113200413554
928055866246
1010100021100
114313220384
121b5a587750
13c4c63a760
146bb55b9c8
153e1a68ca0
hex25a02176c

10100021100 has 72 divisors (see below), whose sum is σ = 31470642000. Its totient is φ = 2486158080.

The previous prime is 10100021089. The next prime is 10100021111. The reversal of 10100021100 is 112000101.

It is an interprime number because it is at equal distance from previous prime (10100021089) and next prime (10100021111).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1290975 + ... + 1298774.

It is an arithmetic number, because the mean of its divisors is an integer number (437092250).

Almost surely, 210100021100 is an apocalyptic number.

10100021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100021100 is an abundant number, since it is smaller than the sum of its proper divisors (21370620900).

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

10100021100 is a wasteful number, since it uses less digits than its factorization.

10100021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589779 (or 2589772 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10100021100 its reverse (112000101), we get a palindrome (10212021201).

The spelling of 10100021100 in words is "ten billion, one hundred million, twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 2589749 5179498 7769247 10358996 12948745 15538494 25897490 31076988 33666737 38846235 51794980 64743725 67333474 77692470 101000211 129487450 134666948 155384940 168333685 194231175 202000422 258974900 336667370 388462350 404000844 505001055 673334740 776924700 841668425 1010002110 1683336850 2020004220 2525005275 3366673700 5050010550 10100021100