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102002201100 = 223352191988347
BaseRepresentation
bin101111011111111001…
…1100001001000001100
3100202021201010200211000
41132333303201020030
53132400030413400
6114505325100300
710240465255332
oct1367763411014
9322251120730
10102002201100
113a293646458
12179283b7690
139807577917
144d18d2db52
1529bedd4600
hex17bfce120c

102002201100 has 144 divisors (see below), whose sum is σ = 345177212800. Its totient is φ = 25768964160.

The previous prime is 102002201099. The next prime is 102002201101. The reversal of 102002201100 is 1102200201.

It is an interprime number because it is at equal distance from previous prime (102002201099) and next prime (102002201101).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (102002201101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 942874 + ... + 1045473.

Almost surely, 2102002201100 is an apocalyptic number.

102002201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002201100 is an abundant number, since it is smaller than the sum of its proper divisors (243175011700).

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

102002201100 is a wasteful number, since it uses less digits than its factorization.

102002201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988389 (or 1988376 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102002201100 its reverse (1102200201), we get a palindrome (103104401301).

The spelling of 102002201100 in words is "one hundred two billion, two million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 27 30 36 38 45 50 54 57 60 75 76 90 95 100 108 114 135 150 171 180 190 225 228 270 285 300 342 380 450 475 513 540 570 675 684 855 900 950 1026 1140 1350 1425 1710 1900 2052 2565 2700 2850 3420 4275 5130 5700 8550 10260 12825 17100 25650 51300 1988347 3976694 5965041 7953388 9941735 11930082 17895123 19883470 23860164 29825205 35790246 37778593 39766940 49708675 53685369 59650410 71580492 75557186 89475615 99417350 107370738 113335779 119300820 149126025 151114372 178951230 188892965 198834700 214741476 226671558 268426845 298252050 340007337 357902460 377785930 447378075 453343116 536853690 566678895 596504100 680014674 755571860 894756150 944464825 1020022011 1073707380 1133357790 1342134225 1360029348 1700036685 1789512300 1888929650 2040044022 2266715580 2684268450 2833394475 3400073370 3777859300 4080088044 5100110055 5368536900 5666788950 6800146740 8500183425 10200220110 11333577900 17000366850 20400440220 25500550275 34000733700 51001100550 102002201100