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1020131255444 = 227376116142339
BaseRepresentation
bin11101101100001001000…
…11111010010010010100
310121112010200221011100112
432312010203322102110
5113203212100133234
62100350345102152
7133462542412610
oct16660443722224
93545120834315
101020131255444
113636a9554094
1214585ba87958
1375275c0b502
1437535d38340
151b808cacace
hexed848fa494

1020131255444 has 48 divisors (see below), whose sum is σ = 2129755770240. Its totient is φ = 418409400960.

The previous prime is 1020131255417. The next prime is 1020131255477. The reversal of 1020131255444 is 4445521310201.

It is a self number, because there is not a number n which added to its sum of digits gives 1020131255444.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8007974 + ... + 8134365.

It is an arithmetic number, because the mean of its divisors is an integer number (44369911880).

Almost surely, 21020131255444 is an apocalyptic number.

1020131255444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1020131255444 is an abundant number, since it is smaller than the sum of its proper divisors (1109624514796).

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

1020131255444 is a wasteful number, since it uses less digits than its factorization.

1020131255444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16142448 (or 16142446 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 1020131255444 its reverse (4445521310201), we get a palindrome (5465652565645).

The spelling of 1020131255444 in words is "one trillion, twenty billion, one hundred thirty-one million, two hundred fifty-five thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 37 61 74 122 148 244 259 427 518 854 1036 1708 2257 4514 9028 15799 31598 63196 16142339 32284678 64569356 112996373 225992746 451985492 597266543 984682679 1194533086 1969365358 2389066172 3938730716 4180865801 6892778753 8361731602 13785557506 16723463204 27571115012 36433259123 72866518246 145733036492 255032813861 510065627722 1020131255444