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32102001433230 = 23531471093671941
BaseRepresentation
bin1110100110010010101000…
…11001000101101010001110
311012122220212200020021221120
413103021110121011222032
513201424344331330410
6152135242244541410
76522202343644131
oct723112431055216
9135586780207846
1032102001433230
11a257422a03393
1237256bb3b1866
1314bb28a03c871
147cda60a0a218
153aa0a7a88570
hex1d3254645a8e

32102001433230 has 128 divisors (see below), whose sum is σ = 81296682172416. Its totient is φ = 8100693619200.

The previous prime is 32102001433189. The next prime is 32102001433241. The reversal of 32102001433230 is 3233410020123.

It is a self number, because there is not a number n which added to its sum of digits gives 32102001433230.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47439060 + ... + 48111000.

It is an arithmetic number, because the mean of its divisors is an integer number (635130329472).

Almost surely, 232102001433230 is an apocalyptic number.

32102001433230 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 32102001433230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40648341086208).

32102001433230 is an abundant number, since it is smaller than the sum of its proper divisors (49194680739186).

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

32102001433230 is a wasteful number, since it uses less digits than its factorization.

32102001433230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673122.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 32102001433230 its reverse (3233410020123), we get a palindrome (35335411453353).

The spelling of 32102001433230 in words is "thirty-two trillion, one hundred two billion, one million, four hundred thirty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 47 62 93 94 141 155 186 235 282 310 465 470 705 930 1093 1410 1457 2186 2914 3279 4371 5465 6558 7285 8742 10930 14570 16395 21855 32790 33883 43710 51371 67766 101649 102742 154113 169415 203298 256855 308226 338830 508245 513710 671941 770565 1016490 1343882 1541130 1592501 2015823 3185002 3359705 4031646 4777503 6719410 7962505 9555006 10079115 15925010 20158230 20830171 23887515 31581227 41660342 47775030 62490513 63162454 94743681 104150855 124981026 157906135 189487362 208301710 312452565 315812270 473718405 624905130 734431513 947436810 979018037 1468863026 1958036074 2203294539 2937054111 3672157565 4406589078 4895090185 5874108222 7344315130 9790180370 11016472695 14685270555 22032945390 22767376903 29370541110 34518281111 45534753806 68302130709 69036562222 103554843333 113836884515 136604261418 172591405555 207109686666 227673769030 341510653545 345182811110 517774216665 683021307090 1035548433330 1070066714441 2140133428882 3210200143323 5350333572205 6420400286646 10700667144410 16051000716615 32102001433230