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103201035552 = 2533711682333
BaseRepresentation
bin110000000011101000…
…0101101010100100000
3100212101020221210112000
41200013100231110200
53142323431114202
6115224312204000
710312263220446
oct1400720552440
9325336853460
10103201035552
113a84932652a
1218001999600
139968a51714
144dd0238b96
152a4028e91c
hex180742d520

103201035552 has 96 divisors (see below), whose sum is σ = 305242680960. Its totient is φ = 33915813120.

The previous prime is 103201035551. The next prime is 103201035557. The reversal of 103201035552 is 255530102301.

It is a happy number.

103201035552 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 0 + 103 + 5 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (103201035551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 779823 + ... + 902510.

It is an arithmetic number, because the mean of its divisors is an integer number (3179611260).

Almost surely, 2103201035552 is an apocalyptic number.

103201035552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103201035552 is an abundant number, since it is smaller than the sum of its proper divisors (202041645408).

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

103201035552 is a wasteful number, since it uses less digits than its factorization.

103201035552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682423 (or 1682409 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 103201035552 its reverse (255530102301), we get a palindrome (358731137853).

The spelling of 103201035552 in words is "one hundred three billion, two hundred one million, thirty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 96 108 142 144 213 216 284 288 426 432 568 639 852 864 1136 1278 1704 1917 2272 2556 3408 3834 5112 6816 7668 10224 15336 20448 30672 61344 1682333 3364666 5046999 6729332 10093998 13458664 15140997 20187996 26917328 30281994 40375992 45422991 53834656 60563988 80751984 90845982 119445643 121127976 161503968 181691964 238891286 242255952 358336929 363383928 477782572 484511904 716673858 726767856 955565144 1075010787 1433347716 1453535712 1911130288 2150021574 2866695432 3225032361 3822260576 4300043148 5733390864 6450064722 8600086296 11466781728 12900129444 17200172592 25800258888 34400345184 51600517776 103201035552