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1055130120 = 2332511266447
BaseRepresentation
bin111110111001000…
…000001000001000
32201112102011102100
4332321000020020
54130103130440
6252411033400
735101313052
oct7671001010
92645364370
101055130120
114a1658970
1225543b860
1313a7a0665
14a01bc8d2
1562971230
hex3ee40208

1055130120 has 96 divisors (see below), whose sum is σ = 3740929920. Its totient is φ = 255788160.

The previous prime is 1055130107. The next prime is 1055130157. The reversal of 1055130120 is 210315501.

It is a super-2 number, since 2×10551301202 = 2226599140262428800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1055130093 and 1055130102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129264 + ... + 137183.

It is an arithmetic number, because the mean of its divisors is an integer number (38968020).

Almost surely, 21055130120 is an apocalyptic number.

1055130120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1055130120 is an abundant number, since it is smaller than the sum of its proper divisors (2685799800).

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

1055130120 is a wasteful number, since it uses less digits than its factorization.

1055130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266475 (or 266468 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 1055130120 is about 32482.7665077961. The cubic root of 1055130120 is about 1018.0489810371.

Adding to 1055130120 its reverse (210315501), we get a palindrome (1265445621).

It can be divided in two parts, 105 and 5130120, that added together give a square (5130225 = 22652).

The spelling of 1055130120 in words is "one billion, fifty-five million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 266447 532894 799341 1065788 1332235 1598682 2131576 2398023 2664470 2930917 3197364 3996705 4796046 5328940 5861834 6394728 7993410 8792751 9592092 10657880 11723668 11990115 14654585 15986820 17585502 19184184 23447336 23980230 26378253 29309170 31973640 35171004 43963755 47960460 52756506 58618340 70342008 87927510 95920920 105513012 117236680 131891265 175855020 211026024 263782530 351710040 527565060 1055130120