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1552013321130 = 232553615333929
BaseRepresentation
bin10110100101011011001…
…100111110001110101010
312111101000110212121201200
4112211123030332032222
5200412010402234010
63144552435425030
7220062223364136
oct26453314761652
95441013777650
101552013321130
115492290713a8
1221095a155176
13b347b315abc
14551915223c6
152a588883cc0
hex1695b33e3aa

1552013321130 has 96 divisors (see below), whose sum is σ = 4178771447760. Its totient is φ = 399404528640.

The previous prime is 1552013321129. The next prime is 1552013321143. The reversal of 1552013321130 is 311233102551.

1552013321130 is a `hidden beast` number, since 1 + 5 + 5 + 201 + 3 + 321 + 130 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 76539095649 + 1475474225481 = 276657^2 + 1214691^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1552013321094 and 1552013321103.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2375995 + ... + 2957934.

Almost surely, 21552013321130 is an apocalyptic number.

1552013321130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1552013321130 is an abundant number, since it is smaller than the sum of its proper divisors (2626758126630).

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

1552013321130 is a wasteful number, since it uses less digits than its factorization.

1552013321130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5334056 (or 5334053 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 1552013321130 its reverse (311233102551), we get a palindrome (1863246423681).

The spelling of 1552013321130 in words is "one trillion, five hundred fifty-two billion, thirteen million, three hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 61 90 106 122 159 183 265 305 318 366 477 530 549 610 795 915 954 1098 1590 1830 2385 2745 3233 4770 5490 6466 9699 16165 19398 29097 32330 48495 58194 96990 145485 290970 5333929 10667858 16001787 26669645 32003574 48005361 53339290 80008935 96010722 160017870 240026805 282698237 325369669 480053610 565396474 650739338 848094711 976109007 1413491185 1626848345 1696189422 1952218014 2544284133 2826982370 2928327021 3253696690 4240473555 4880545035 5088568266 5856654042 8480947110 9761090070 12721420665 14641635105 17244592457 25442841330 29283270210 34489184914 51733777371 86222962285 103467554742 155201332113 172445924570 258668886855 310402664226 517337773710 776006660565 1552013321130