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31220024000431 = 7293114933295783
BaseRepresentation
bin1110001100100111110100…
…11100001011111110101111
311002112121100011002111010011
413012103322130023332233
513043002102121003211
6150222140411354051
76401400204316240
oct706237234137657
9132477304074104
1031220024000431
119a4737970a032
123602796a52927
131456060385b06
1479d0b3046cc7
153921878c1921
hex1c64fa70bfaf

31220024000431 has 32 divisors (see below), whose sum is σ = 38356743168000. Its totient is φ = 24835989709440.

The previous prime is 31220024000351. The next prime is 31220024000441. The reversal of 31220024000431 is 13400042002213.

It is not a de Polignac number, because 31220024000431 - 27 = 31220024000303 is a prime.

It is a super-2 number, since 2×312200240004312 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31220024000441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15710235 + ... + 17585548.

It is an arithmetic number, because the mean of its divisors is an integer number (1198648224000).

Almost surely, 231220024000431 is an apocalyptic number.

31220024000431 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

31220024000431 is a deficient number, since it is larger than the sum of its proper divisors (7136719167569).

31220024000431 is a wasteful number, since it uses less digits than its factorization.

31220024000431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33295999.

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 31220024000431 its reverse (13400042002213), we get a palindrome (44620066002644).

The spelling of 31220024000431 in words is "thirty-one trillion, two hundred twenty billion, twenty-four million, four hundred thirty-one", and thus it is an aban number.

Divisors: 1 7 29 31 149 203 217 899 1043 4321 4619 6293 30247 32333 133951 937657 33295783 233070481 965577707 1032169273 4961071667 6759043949 7225184911 29932908917 34727501669 143871078343 153793221677 209530362419 1007097548401 1076552551739 4460003428633 31220024000431