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1020002132112 = 243128411654859
BaseRepresentation
bin11101101011111001101…
…11010110000010010000
310121111210200222000102220
432311330313112002100
5113202431021211422
62100325453341040
7133456414033005
oct16657467260220
93544720860386
101020002132112
11363642680897
12145824797780
137525523ba82
1437522b258ac
151b7ec7a3e5c
hexed7cdd6090

1020002132112 has 40 divisors (see below), whose sum is σ = 2635212302880. Its totient is φ = 339974027520.

The previous prime is 1020002132053. The next prime is 1020002132143. The reversal of 1020002132112 is 2112312000201.

It is a junction number, because it is equal to n+sod(n) for n = 1020002132091 and 1020002132100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211062 + ... + 1443797.

It is an arithmetic number, because the mean of its divisors is an integer number (65880307572).

Almost surely, 21020002132112 is an apocalyptic number.

1020002132112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020002132112 is an abundant number, since it is smaller than the sum of its proper divisors (1615210170768).

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

1020002132112 is a wasteful number, since it uses less digits than its factorization.

1020002132112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667711 (or 1667705 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1020002132112 its reverse (2112312000201), we get a palindrome (3132314132313).

The spelling of 1020002132112 in words is "one trillion, twenty billion, two million, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 12841 25682 38523 51364 77046 102728 154092 205456 308184 616368 1654859 3309718 4964577 6619436 9929154 13238872 19858308 26477744 39716616 79433232 21250044419 42500088838 63750133257 85000177676 127500266514 170000355352 255000533028 340000710704 510001066056 1020002132112