Search a number
-
+
10402303144233 = 37112133110158271
BaseRepresentation
bin1001011101011111100110…
…0101010111000100101001
31100211110011101120110202110
42113113321211113010221
52330412404101103413
634042430241352533
72122353524553450
oct227277145270451
940743141513673
1010402303144233
113350656a34800
121200052338749
135a5c1899cbb0
1427d68d13bb97
151308c3b2e8c3
hex975f9957129

10402303144233 has 96 divisors (see below), whose sum is σ = 19368655323136. Its totient is φ = 4827209904000.

The previous prime is 10402303144231. The next prime is 10402303144253. The reversal of 10402303144233 is 33244130320401.

It is a happy number.

It is not a de Polignac number, because 10402303144233 - 21 = 10402303144231 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10402303144233.

It is not an unprimeable number, because it can be changed into a prime (10402303144231) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4055113 + ... + 6103158.

Almost surely, 210402303144233 is an apocalyptic number.

10402303144233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10402303144233 is a deficient number, since it is larger than the sum of its proper divisors (8966352178903).

10402303144233 is a wasteful number, since it uses less digits than its factorization.

10402303144233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10158347 (or 10158336 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 10402303144233 its reverse (33244130320401), we get a palindrome (43646433464634).

The spelling of 10402303144233 in words is "ten trillion, four hundred two billion, three hundred three million, one hundred forty-four thousand, two hundred thirty-three".

Divisors: 1 3 7 11 13 21 31 33 39 77 91 93 121 143 217 231 273 341 363 403 429 651 847 1001 1023 1209 1573 2387 2541 2821 3003 3751 4433 4719 7161 8463 11011 11253 13299 26257 31031 33033 48763 78771 93093 146289 341341 1024023 10158271 30474813 71107897 111740981 132057523 213323691 314906401 335222943 396172569 782186867 924402661 944719203 1229150791 1452632753 2204344807 2346560601 2773207983 3463970411 3687452373 4093783213 4357898259 6613034421 8604055537 10168429271 10391911233 12281349639 15978960283 24247792877 25812166611 28656482491 30505287813 38103674521 45031615343 47936880849 72743378631 85969447473 111852721981 114311023563 135094846029 266725721647 315221307401 335558165943 495347768773 800177164941 945663922203 1486043306319 3467434381411 10402303144233