Search a number
-
+
10203054399960 = 2335571641232303
BaseRepresentation
bin1001010001111001010101…
…1011101110000111011000
31100010101212101220112101020
42110132111123232013120
52314131323411244320
633411115105322440
72102101125305412
oct224362533560730
940111771815336
1010203054399960
113284100241104
121189506336420
135901b41c7c46
14273b8ab379b2
1512a611604940
hex947956ee1d8

10203054399960 has 128 divisors (see below), whose sum is σ = 30710737474560. Its totient is φ = 2711800627200.

The previous prime is 10203054399959. The next prime is 10203054399961. The reversal of 10203054399960 is 6999345030201.

It is an interprime number because it is at equal distance from previous prime (10203054399959) and next prime (10203054399961).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10203054399961) 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 31 ways as a sum of consecutive naturals, for example, 43805169 + ... + 44037471.

It is an arithmetic number, because the mean of its divisors is an integer number (239927636520).

Almost surely, 210203054399960 is an apocalyptic number.

10203054399960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10203054399960 is an abundant number, since it is smaller than the sum of its proper divisors (20507683074600).

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

10203054399960 is a wasteful number, since it uses less digits than its factorization.

10203054399960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233529 (or 233525 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 51.

The spelling of 10203054399960 in words is "ten trillion, two hundred three billion, fifty-four million, three hundred ninety-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 571 641 1142 1282 1713 1923 2284 2564 2855 3205 3426 3846 4568 5128 5710 6410 6852 7692 8565 9615 11420 12820 13704 15384 17130 19230 22840 25640 34260 38460 68520 76920 232303 366011 464606 696909 732022 929212 1098033 1161515 1393818 1464044 1830055 1858424 2196066 2323030 2787636 2928088 3484545 3660110 4392132 4646060 5490165 5575272 6969090 7320220 8784264 9292120 10980330 13938180 14640440 21960660 27876360 43921320 132645013 148906223 265290026 297812446 397935039 446718669 530580052 595624892 663225065 744531115 795870078 893437338 1061160104 1191249784 1326450130 1489062230 1591740156 1786874676 1989675195 2233593345 2652900260 2978124460 3183480312 3573749352 3979350390 4467186690 5305800520 5956248920 7958700780 8934373380 15917401560 17868746760 85025453333 170050906666 255076359999 340101813332 425127266665 510152719998 680203626664 850254533330 1020305439996 1275381799995 1700509066660 2040610879992 2550763599990 3401018133320 5101527199980 10203054399960