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102100002211020 = 223511314990224937
BaseRepresentation
bin10111001101110000000010…
…010111010000010011001100
3111101111122221200222001110010
4113031300002113100103030
5101340301301031223040
61001052032110113220
730335324143335042
oct2715600227202314
9441448850861403
10102100002211020
112a594405563250
12b54b7b81ab810
1344c7cb17b2238
141b2d948b3a392
15bc0cc6cc1e80
hex5cdc025d04cc

102100002211020 has 96 divisors (see below), whose sum is σ = 321929391200256. Its totient is φ = 23953079692800.

The previous prime is 102100002211013. The next prime is 102100002211057. The reversal of 102100002211020 is 20112200001201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102100002210987 and 102100002211005.

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, 2495092009 + ... + 2495132928.

It is an arithmetic number, because the mean of its divisors is an integer number (3353431158336).

Almost surely, 2102100002211020 is an apocalyptic number.

102100002211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100002211020 is an abundant number, since it is smaller than the sum of its proper divisors (219829388989236).

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

102100002211020 is a wasteful number, since it uses less digits than its factorization.

102100002211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4990224991 (or 4990224989 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102100002211020 its reverse (20112200001201), we get a palindrome (122212202212221).

The spelling of 102100002211020 in words is "one hundred two trillion, one hundred billion, two million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 124 132 155 165 186 220 310 330 341 372 465 620 660 682 930 1023 1364 1705 1860 2046 3410 4092 5115 6820 10230 20460 4990224937 9980449874 14970674811 19960899748 24951124685 29941349622 49902249370 54892474307 59882699244 74853374055 99804498740 109784948614 149706748110 154696973047 164677422921 219569897228 274462371535 299413496220 309393946094 329354845842 464090919141 548924743070 618787892188 658709691684 773484865235 823387114605 928181838282 1097849486140 1546969730470 1646774229210 1701666703517 1856363676564 2320454595705 3093939460940 3293548458420 3403333407034 4640909191410 5105000110551 6806666814068 8508333517585 9281818382820 10210000221102 17016667035170 20420000442204 25525000552755 34033334070340 51050001105510 102100002211020