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1021403133324 = 2232717922643503
BaseRepresentation
bin11101101110100000101…
…11101111010110001100
310121122102100012020210200
432313100113233112030
5113213313200231244
62101120501533500
7133536215245440
oct16672027572614
93548370166720
101021403133324
113641a1493832
12145b55a14290
137541957b182
1437616c18820
151b880795669
hexedd05ef58c

1021403133324 has 72 divisors (see below), whose sum is σ = 2967204764160. Its totient is φ = 290199121632.

The previous prime is 1021403133323. The next prime is 1021403133341. The reversal of 1021403133324 is 4233313041201.

It is a happy number.

1021403133324 is a `hidden beast` number, since 1 + 0 + 2 + 14 + 0 + 313 + 332 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (1021403133323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11276644 + ... + 11366859.

It is an arithmetic number, because the mean of its divisors is an integer number (41211177280).

Almost surely, 21021403133324 is an apocalyptic number.

1021403133324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1021403133324 is an abundant number, since it is smaller than the sum of its proper divisors (1945801630836).

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

1021403133324 is a wasteful number, since it uses less digits than its factorization.

1021403133324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22643699 (or 22643694 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1021403133324 its reverse (4233313041201), we get a palindrome (5254716174525).

The spelling of 1021403133324 in words is "one trillion, twenty-one billion, four hundred three million, one hundred thirty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 179 252 358 537 716 1074 1253 1611 2148 2506 3222 3759 5012 6444 7518 11277 15036 22554 45108 22643503 45287006 67930509 90574012 135861018 158504521 203791527 271722036 317009042 407583054 475513563 634018084 815166108 951027126 1426540689 1902054252 2853081378 4053187037 5706162756 8106374074 12159561111 16212748148 24319122222 28372309259 36478683333 48638244444 56744618518 72957366666 85116927777 113489237036 145914733332 170233855554 255350783331 340467711108 510701566662 1021403133324