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102230200211100 = 223521388312968279
BaseRepresentation
bin10111001111101001010010…
…110001001101011010011100
3111101222010000102110202010020
4113033221102301031122130
5101344414422223223400
61001231523341112140
730350613443150103
oct2717512261153234
9441863012422106
10102230200211100
112a634647979805
12b570a93258650
1345073606c0980
141b35d7a62703a
15bc43971e72a0
hex5cfa52c4d69c

102230200211100 has 144 divisors (see below), whose sum is σ = 318574996561920. Its totient is φ = 25161498950400.

The previous prime is 102230200210979. The next prime is 102230200211233. The reversal of 102230200211100 is 1112002032201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102230200211100.

It is a congruent number.

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, 32956761 + ... + 35925039.

Almost surely, 2102230200211100 is an apocalyptic number.

102230200211100 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 102230200211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159287498280960).

102230200211100 is an abundant number, since it is smaller than the sum of its proper divisors (216344796350820).

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

102230200211100 is a wasteful number, since it uses less digits than its factorization.

102230200211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2977140 (or 2977133 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102230200211100 its reverse (1112002032201), we get a palindrome (103342202243301).

The spelling of 102230200211100 in words is "one hundred two trillion, two hundred thirty billion, two hundred million, two hundred eleven 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 8831 17662 26493 35324 44155 52986 88310 105972 114803 132465 176620 220775 229606 264930 344409 441550 459212 529860 574015 662325 688818 883100 1148030 1324650 1377636 1722045 2296060 2649300 2870075 2968279 3444090 5740150 5936558 6888180 8610225 8904837 11480300 11873116 14841395 17220450 17809674 29682790 34440900 35619348 38587627 44524185 59365580 74206975 77175254 89048370 115762881 148413950 154350508 178096740 192938135 222620925 231525762 296827900 385876270 445241850 463051524 578814405 771752540 890483700 964690675 1157628810 1929381350 2315257620 2894072025 3858762700 5788144050 11576288100 26212871849 52425743698 78638615547 104851487396 131064359245 157277231094 262128718490 314554462188 340767334037 393193077735 524257436980 655321796225 681534668074 786386155470 1022302002111 1310643592450 1363069336148 1572772310940 1703836670185 1965965388675 2044604004222 2621287184900 3407673340370 3931930777350 4089208008444 5111510010555 6815346680740 7863861554700 8519183350925 10223020021110 17038366701850 20446040042220 25557550052775 34076733403700 51115100105550 102230200211100