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210402230042420 = 225131997194382297
BaseRepresentation
bin101111110101110000010110…
…001011100111111100110100
31000120222020221011122120111022
4233311300112023213330310
5210034212231342324140
62023253241120200312
762214026254635413
oct5765602613477464
91016866834576438
10210402230042420
116104a0a2758629
121b721441169098
139052acaa75460
1439d574517347a
15194d0a157e0b5
hexbf5c162e7f34

210402230042420 has 96 divisors (see below), whose sum is σ = 500928213945600. Its totient is φ = 73590599568384.

The previous prime is 210402230042399. The next prime is 210402230042483. The reversal of 210402230042420 is 24240032204012.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 210402230042420.

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, 45820712 + ... + 50203008.

It is an arithmetic number, because the mean of its divisors is an integer number (5218002228600).

Almost surely, 2210402230042420 is an apocalyptic number.

210402230042420 is a gapful number since it is divisible by the number (20) 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 210402230042420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250464106972800).

210402230042420 is an abundant number, since it is smaller than the sum of its proper divisors (290525983903180).

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

210402230042420 is a wasteful number, since it uses less digits than its factorization.

210402230042420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4392057 (or 4392055 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 210402230042420 its reverse (24240032204012), we get a palindrome (234642262246432).

The spelling of 210402230042420 in words is "two hundred ten trillion, four hundred two billion, two hundred thirty million, forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 380 494 988 1235 2470 4940 9719 19438 38876 48595 97190 126347 184661 194380 252694 369322 505388 631735 738644 923305 1263470 1846610 2400593 2526940 3693220 4382297 4801186 8764594 9602372 12002965 17529188 21911485 24005930 43822970 48011860 56969861 83263643 87645940 113939722 166527286 227879444 284849305 333054572 416318215 569698610 832636430 1082427359 1139397220 1665272860 2164854718 4329709436 5412136795 10824273590 21648547180 42591544543 85183089086 170366178172 212957722715 425915445430 553690079059 809239346317 851830890860 1107380158118 1618478692634 2214760316236 2768450395295 3236957385268 4046196731585 5536900790590 8092393463170 10520111502121 11073801581180 16184786926340 21040223004242 42080446008484 52600557510605 105201115021210 210402230042420