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21430433432031 = 3138397131521009
BaseRepresentation
bin1001101111101101010010…
…10111110100000111011111
32210212201200202022211110220
410313312221113310013133
510302104011424311111
6113325001042532423
74341204055414011
oct467665127640737
983781622284426
1021430433432031
116912660a89248
1224a1440967113
13bc5b5bccb450
1454134a69a1b1
152726c4bd8e06
hex137da95f41df

21430433432031 has 64 divisors (see below), whose sum is σ = 31703950333440. Its totient is φ = 12796289925120.

The previous prime is 21430433432011. The next prime is 21430433432113. The reversal of 21430433432031 is 13023433403412.

It is a happy number.

It is not a de Polignac number, because 21430433432031 - 229 = 21429896561119 is a prime.

It is a super-2 number, since 2×214304334320312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21430433431983 and 21430433432001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21430433432011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40872055 + ... + 41393063.

It is an arithmetic number, because the mean of its divisors is an integer number (495374223960).

Almost surely, 221430433432031 is an apocalyptic number.

21430433432031 is a deficient number, since it is larger than the sum of its proper divisors (10273516901409).

21430433432031 is a wasteful number, since it uses less digits than its factorization.

21430433432031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521336.

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 21430433432031 its reverse (13023433403412), we get a palindrome (34453866835443).

The spelling of 21430433432031 in words is "twenty-one trillion, four hundred thirty billion, four hundred thirty-three million, four hundred thirty-two thousand, thirty-one".

Divisors: 1 3 13 39 83 97 131 249 291 393 1079 1261 1703 3237 3783 5109 8051 10873 12707 24153 32619 38121 104663 141349 165191 313989 424047 495573 521009 1054681 1563027 3164043 6773117 13710853 20319351 41132559 43243747 50537873 68252179 129731241 151613619 204756537 562168711 656992349 887278327 1686506133 1970977047 2661834981 4194643459 5664930857 6620461363 12583930377 16994792571 19861384089 54530364967 73644101141 86065997719 163591094901 220932303423 258197993157 549498293129 1648494879387 7143477810677 21430433432031