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102110212220020 = 225431489456117483
BaseRepresentation
bin10111001101111001100010…
…111011010110010001110100
3111101112122022020220020202121
4113031321202323112101310
5101340433203312020040
61001100441154045324
730336135151102114
oct2715714273262164
9441478266806677
10102110212220020
112a598774877114
12b551787579844
1344c8c4ab4c694
141b30236b29044
15bc11c3314c4a
hex5cde62ed6474

102110212220020 has 96 divisors (see below), whose sum is σ = 219626284268160. Its totient is φ = 39856409026560.

The previous prime is 102110212219997. The next prime is 102110212220069. The reversal of 102110212220020 is 20022212011201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102110212219976 and 102110212220003.

It is a congruent number.

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, 5840534199 + ... + 5840551681.

It is an arithmetic number, because the mean of its divisors is an integer number (2287773794460).

Almost surely, 2102110212220020 is an apocalyptic number.

102110212220020 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 102110212220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109813142134080).

102110212220020 is an abundant number, since it is smaller than the sum of its proper divisors (117516072048140).

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

102110212220020 is a wasteful number, since it uses less digits than its factorization.

102110212220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23585 (or 23583 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102110212220020 its reverse (20022212011201), we get a palindrome (122132424231221).

The spelling of 102110212220020 in words is "one hundred two trillion, one hundred ten billion, two hundred twelve million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 1489 2978 4561 5956 7445 9122 14890 17483 18244 22805 29780 34966 45610 64027 69932 87415 91220 128054 174830 196123 256108 320135 349660 392246 640270 751769 784492 980615 1280540 1503538 1961230 3007076 3758845 3922460 6791329 7517690 13582658 15035380 26032187 27165316 33956645 52064374 67913290 79739963 104128748 130160935 135826580 159479926 260321870 292027147 318959852 398699815 520643740 584054294 797399630 1119384041 1168108588 1460135735 1594799260 2238768082 2920271470 3428818409 4477536164 5596920205 5840542940 6857636818 11193840410 13715273636 17144092045 22387680820 34288184090 68576368180 118732804907 237465609814 474931219628 593664024535 1187328049070 2374656098140 5105510611001 10211021222002 20422042444004 25527553055005 51055106110010 102110212220020