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2300001130032 = 243479716576343
BaseRepresentation
bin100001011110000010110…
…000000001011000110000
322010212201000220021211020
4201132002300001120300
5300140400242130112
64520334514215440
7325112113015104
oct41360260013060
98125630807736
102300001130032
1180747474a0a1
12311909884580
13138b7369a428
147d46bc07904
153ec6581148c
hex21782c01630

2300001130032 has 160 divisors (see below), whose sum is σ = 6135312648192. Its totient is φ = 742054182912.

The previous prime is 2300001130027. The next prime is 2300001130067. The reversal of 2300001130032 is 2300311000032.

It is a super-3 number, since 3×23000011300323 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2300001129993 and 2300001130020.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362601453 + ... + 362607795.

Almost surely, 22300001130032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300001130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3067656324096).

2300001130032 is an abundant number, since it is smaller than the sum of its proper divisors (3835311518160).

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

2300001130032 is a wasteful number, since it uses less digits than its factorization.

2300001130032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8155 (or 8149 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 2300001130032 its reverse (2300311000032), we get a palindrome (4600312130064).

The spelling of 2300001130032 in words is "two trillion, three hundred billion, one million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 97 141 188 194 282 291 376 388 564 582 752 776 1128 1164 1552 1657 2256 2328 3314 4559 4656 4971 6343 6628 9118 9942 12686 13256 13677 18236 19029 19884 25372 26512 27354 36472 38058 39768 50744 54708 72944 76116 77879 79536 101488 109416 152232 155758 160729 218832 233637 298121 304464 311516 321458 467274 482187 596242 615271 623032 642916 894363 934548 964374 1192484 1230542 1246064 1285832 1788726 1845813 1869096 1928748 2384968 2461084 2571664 3577452 3691626 3738192 3857496 4769936 4922168 7154904 7383252 7554263 7714992 9844336 10510351 14309808 14766504 15108526 21020702 22662789 28917737 29533008 30217052 31531053 42041404 45325578 57835474 60434104 63062106 84082808 86753211 90651156 115670948 120868208 126124212 168165616 173506422 181302312 231341896 252248424 347012844 362604624 462683792 493986497 504496848 694025688 987972994 1019504047 1388051376 1481959491 1975945988 2039008094 2963918982 3058512141 3951891976 4078016188 5927837964 6117024282 7903783952 8156032376 11855675928 12234048564 16312064752 23711351856 24468097128 47916690209 48936194256 95833380418 143750070627 191666760836 287500141254 383333521672 575000282508 766667043344 1150000565016 2300001130032