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10022000000100 = 223521129104723093
BaseRepresentation
bin1001000111010110110110…
…1111111111110001100100
31022111002112102010001102220
42101311231233333301210
52303200024000000400
633152013201232340
72053031334303264
oct221655557776144
938432472101386
1010022000000100
1132143407aa790
12115a3b76326b0
135790bbcaa56a
142690d2cad7a4
15125a665717a0
hex91d6dbffc64

10022000000100 has 144 divisors (see below), whose sum is σ = 32723872413120. Its totient is φ = 2345797260800.

The previous prime is 10022000000093. The next prime is 10022000000137. The reversal of 10022000000100 is 100000022001.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 52265847 + ... + 52457246.

It is an arithmetic number, because the mean of its divisors is an integer number (227249113980).

Almost surely, 210022000000100 is an apocalyptic number.

10022000000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022000000100 is an abundant number, since it is smaller than the sum of its proper divisors (22701872413020).

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

10022000000100 is a wasteful number, since it uses less digits than its factorization.

10022000000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104723150 (or 104723143 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 10022000000100 its reverse (100000022001), we get a palindrome (10122000022101).

The spelling of 10022000000100 in words is "ten trillion, twenty-two billion, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 29 30 33 44 50 55 58 60 66 75 87 100 110 116 132 145 150 165 174 220 275 290 300 319 330 348 435 550 580 638 660 725 825 870 957 1100 1276 1450 1595 1650 1740 1914 2175 2900 3190 3300 3828 4350 4785 6380 7975 8700 9570 15950 19140 23925 31900 47850 95700 104723093 209446186 314169279 418892372 523615465 628338558 1047230930 1151954023 1256677116 1570846395 2094461860 2303908046 2618077325 3036969697 3141692790 3455862069 4607816092 5236154650 5759770115 6073939394 6283385580 6911724138 7854231975 9110909091 10472309300 11519540230 12147878788 13823448276 15184848485 15708463950 17279310345 18221818182 23039080460 28798850575 30369696970 31416927900 33406666667 34558620690 36443636364 45554545455 57597701150 60739393940 66813333334 69117241380 75924242425 86396551725 91109090910 100220000001 115195402300 133626666668 151848484850 167033333335 172793103450 182218181820 200440000002 227772727275 303696969700 334066666670 345586206900 400880000004 455545454550 501100000005 668133333340 835166666675 911090909100 1002200000010 1670333333350 2004400000020 2505500000025 3340666666700 5011000000050 10022000000100