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32300232030 = 23351113978241
BaseRepresentation
bin11110000101001111…
…100110110101011110
310002101001120210112000
4132011033212311132
51012122324411110
622501042023130
72222300304453
oct360517466536
9102331523460
1032300232030
1112775703440
126315347aa6
133079abba41
1417c5b3782a
15c90a441c0
hex7853e6d5e

32300232030 has 128 divisors (see below), whose sum is σ = 94641523200. Its totient is φ = 7773926400.

The previous prime is 32300232023. The next prime is 32300232031. The reversal of 32300232030 is 3023200323.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 32300231994 and 32300232012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32300232031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 373710 + ... + 451950.

It is an arithmetic number, because the mean of its divisors is an integer number (739386900).

Almost surely, 232300232030 is an apocalyptic number.

32300232030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32300232030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47320761600).

32300232030 is an abundant number, since it is smaller than the sum of its proper divisors (62341291170).

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

32300232030 is a wasteful number, since it uses less digits than its factorization.

32300232030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78407 (or 78401 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 32300232030 its reverse (3023200323), we get a palindrome (35323432353).

The spelling of 32300232030 in words is "thirty-two billion, three hundred million, two hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 139 165 198 270 278 297 330 417 495 594 695 834 990 1251 1390 1485 1529 2085 2502 2970 3058 3753 4170 4587 6255 7506 7645 9174 12510 13761 15290 18765 22935 27522 37530 41283 45870 68805 78241 82566 137610 156482 206415 234723 391205 412830 469446 704169 782410 860651 1173615 1408338 1721302 2112507 2347230 2581953 3520845 4225014 4303255 5163906 7041690 7745859 8606510 10562535 10875499 12909765 15491718 21125070 21750998 23237577 25819530 32626497 38729295 46475154 54377495 65252994 77458590 97879491 108754990 116187885 119630489 163132485 195758982 232375770 239260978 293638473 326264970 358891467 489397455 587276946 598152445 717782934 978794910 1076674401 1196304890 1468192365 1794457335 2153348802 2936384730 3230023203 3588914670 5383372005 6460046406 10766744010 16150116015 32300232030