Search a number
-
+
2301340001031 = 34194779521773
BaseRepresentation
bin100001011111010010100…
…011011010001100000111
322011000011100012222120000
4201133102203122030013
5300201121020013111
64521115423012343
7325160231152101
oct41372243321407
98130140188500
102301340001031
11807aa1486755
1231202213a0b3
13139027b950a6
147d557966571
153ece312dc56
hex217d28da307

2301340001031 has 160 divisors (see below), whose sum is σ = 3754551398400. Its totient is φ = 1400036451840.

The previous prime is 2301340001027. The next prime is 2301340001041. The reversal of 2301340001031 is 1301000431032.

2301340001031 is a `hidden beast` number, since 230 + 1 + 3 + 400 + 0 + 1 + 0 + 31 = 666.

It is not a de Polignac number, because 2301340001031 - 22 = 2301340001027 is a prime.

It is a super-2 number, since 2×23013400010312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2301340000995 and 2301340001013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301340001041) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2977153561 + ... + 2977154333.

It is an arithmetic number, because the mean of its divisors is an integer number (23465946240).

Almost surely, 22301340001031 is an apocalyptic number.

2301340001031 is a deficient number, since it is larger than the sum of its proper divisors (1453211397369).

2301340001031 is a wasteful number, since it uses less digits than its factorization.

2301340001031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2301340001031 its reverse (1301000431032), we get a palindrome (3602340432063).

The spelling of 2301340001031 in words is "two trillion, three hundred one billion, three hundred forty million, one thousand, thirty-one".

Divisors: 1 3 9 19 27 47 57 79 81 141 171 237 423 513 521 711 773 893 1269 1501 1539 1563 2133 2319 2679 3713 3807 4503 4689 6399 6957 8037 9899 11139 13509 14067 14687 20871 24111 24487 29697 33417 36331 40527 41159 42201 44061 61067 62613 70547 72333 73461 89091 100251 108993 121581 123477 132183 183201 211641 220383 267273 300753 326979 370431 396549 402733 465253 549603 634923 661149 690289 782021 801819 980937 1111293 1160273 1189647 1208199 1395759 1648809 1904769 1934473 1983447 2070867 2346063 2870149 2942811 3333879 3480819 3624597 4187277 4946427 5714307 5803419 6212601 7038189 7651927 8610447 10442457 10873791 12561831 17410257 18637803 18928451 21114567 22955781 25831341 31327371 31815907 32621373 36754987 37685493 52230771 54532831 55913409 56785353 63343701 68867343 77494023 93982113 95447721 110264961 156692313 163598493 170356059 206602029 232482069 286343163 330794883 359640569 490795479 511068177 604502233 619806087 859029489 992384649 1078921707 1472386437 1495347629 1533204531 1813506699 2577088467 2977153947 3236765121 4417159311 4486042887 5440520097 9710295363 13458128661 16321560291 28411604951 29130886089 40374385983 48964680873 85234814853 121123157949 255704444559 767113333677 2301340001031