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102203200102230 = 233517154914374753
BaseRepresentation
bin10111001111010000001001…
…011011111101111101010110
3111101212112022202000002202000
4113033100021123331331112
5101343444123211232410
61001211300231100130
730345636401051403
oct2717201133757526
9441775282002660
10102203200102230
112a624152031347
12b5677b8b11646
1345049499a26a6
141b349387972aa
15bc3816b3edc0
hex5cf4096fdf56

102203200102230 has 128 divisors (see below), whose sum is σ = 288760058352000. Its totient is φ = 25634437742592.

The previous prime is 102203200102219. The next prime is 102203200102249. The reversal of 102203200102230 is 32201002302201.

102203200102230 is a `hidden beast` number, since 1 + 0 + 220 + 3 + 200 + 10 + 2 + 230 = 666.

It is a super-2 number, since 2×1022032001022302 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77467 + ... + 14297286.

It is an arithmetic number, because the mean of its divisors is an integer number (2255937955875).

Almost surely, 2102203200102230 is an apocalyptic number.

102203200102230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102203200102230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144380029176000).

102203200102230 is an abundant number, since it is smaller than the sum of its proper divisors (186556858249770).

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

102203200102230 is a wasteful number, since it uses less digits than its factorization.

102203200102230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14376335 (or 14376329 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102203200102230 its reverse (32201002302201), we get a palindrome (134404202404431).

The spelling of 102203200102230 in words is "one hundred two trillion, two hundred three billion, two hundred million, one hundred two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 765 918 1530 1549 2295 3098 4590 4647 7745 9294 13941 15490 23235 26333 27882 41823 46470 52666 69705 78999 83646 131665 139410 157998 209115 236997 263330 394995 418230 473994 710991 789990 1184985 1421982 2369970 3554955 7109910 14374753 28749506 43124259 71873765 86248518 129372777 143747530 215621295 244370801 258745554 388118331 431242590 488741602 646863885 733112403 776236662 1221854005 1293727770 1466224806 1940591655 2199337209 2443708010 3665562015 3881183310 4398674418 6598011627 7331124030 10996686045 13196023254 21993372090 22266492397 32990058135 44532984794 65980116270 66799477191 111332461985 133598954382 200398431573 222664923970 333997385955 378530370749 400796863146 601195294719 667994771910 757060741498 1001992157865 1135591112247 1202390589438 1892651853745 2003984315730 2271182224494 3005976473595 3406773336741 3785303707490 5677955561235 6011952947190 6813546673482 10220320010223 11355911122470 17033866683705 20440640020446 34067733367410 51101600051115 102203200102230