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102010222212020 = 225293130891836691
BaseRepresentation
bin10111001100011100011011…
…000011101111001110110100
3111101012002012210001112221222
4113030130123003233032310
5101332313413341241040
61000542503225125512
730325665255050603
oct2714343303571664
9441162183045858
10102010222212020
112a55a324046171
12b536321029898
1344bc6a442ac85
141b2946d149a3a
15bbd7bee00bb5
hex5cc71b0ef3b4

102010222212020 has 96 divisors (see below), whose sum is σ = 228831252249600. Its totient is φ = 38113815398400.

The previous prime is 102010222211959. The next prime is 102010222212131. The reversal of 102010222212020 is 20212222010201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 102010222212020.

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, 54621875 + ... + 56458565.

It is an arithmetic number, because the mean of its divisors is an integer number (2383658877600).

Almost surely, 2102010222212020 is an apocalyptic number.

102010222212020 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 102010222212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114415626124800).

102010222212020 is an abundant number, since it is smaller than the sum of its proper divisors (126821030037580).

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

102010222212020 is a wasteful number, since it uses less digits than its factorization.

102010222212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839849 (or 1839847 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 102010222212020 its reverse (20212222010201), we get a palindrome (122222444222221).

The spelling of 102010222212020 in words is "one hundred two trillion, ten billion, two hundred twenty-two million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 29 31 58 62 116 124 145 155 290 310 580 620 899 1798 3089 3596 4495 6178 8990 12356 15445 17980 30890 61780 89581 95759 179162 191518 358324 383036 447905 478795 895810 957590 1791620 1836691 1915180 2777011 3673382 5554022 7346764 9183455 11108044 13885055 18366910 27770110 36733820 53264039 55540220 56937421 106528078 113874842 213056156 227749684 266320195 284687105 532640390 569374210 1065280780 1138748420 1651185209 3302370418 5673538499 6604740836 8255926045 11347076998 16511852090 22694153996 28367692495 33023704180 56735384990 113470769980 164532616471 175879693469 329065232942 351759386938 658130465884 703518773876 822663082355 879398467345 1645326164710 1758796934690 3290652329420 3517593869380 5100511110601 10201022221202 20402044442404 25502555553005 51005111106010 102010222212020