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10032100002300 = 22352371098291677
BaseRepresentation
bin1001000111111100011111…
…0000011100100111111100
31022112001121022001022210110
42101333013300130213330
52303331220100033200
633200403315310020
72053536535016655
oct221770760344774
938461538038713
1010032100002300
113218653a07942
121160355bab310
1357a03b60c51c
142697b042452c
15125e580d4b50
hex91fc7c1c9fc

10032100002300 has 144 divisors (see below), whose sum is σ = 30084197786720. Its totient is φ = 2579042903040.

The previous prime is 10032100002289. The next prime is 10032100002343. The reversal of 10032100002300 is 320000123001.

It is a happy number.

It is a super-2 number, since 2×100321000023002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2935939 + ... + 5355738.

Almost surely, 210032100002300 is an apocalyptic number.

10032100002300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10032100002300 is an abundant number, since it is smaller than the sum of its proper divisors (20052097784420).

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

10032100002300 is a wasteful number, since it uses less digits than its factorization.

10032100002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8291840 (or 8291833 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10032100002300 its reverse (320000123001), we get a palindrome (10352100125301).

The spelling of 10032100002300 in words is "ten trillion, thirty-two billion, one hundred million, two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 109 111 148 150 185 218 222 300 327 370 436 444 545 555 654 740 925 1090 1110 1308 1635 1850 2180 2220 2725 2775 3270 3700 4033 5450 5550 6540 8066 8175 10900 11100 12099 16132 16350 20165 24198 32700 40330 48396 60495 80660 100825 120990 201650 241980 302475 403300 604950 1209900 8291677 16583354 24875031 33166708 41458385 49750062 82916770 99500124 124375155 165833540 207291925 248750310 306792049 414583850 497500620 613584098 621875775 829167700 903792793 920376147 1227168196 1243751550 1533960245 1807585586 1840752294 2487503100 2711378379 3067920490 3615171172 3681504588 4518963965 4601880735 5422756758 6135840980 7669801225 9037927930 9203761470 10845513516 13556891895 15339602450 18075855860 18407522940 22594819825 23009403675 27113783790 30679204900 33440333341 45189639650 46018807350 54227567580 66880666682 67784459475 90379279300 92037614700 100321000023 133761333364 135568918950 167201666705 200642000046 271137837900 334403333410 401284000092 501605000115 668806666820 836008333525 1003210000230 1672016667050 2006420000460 2508025000575 3344033334100 5016050001150 10032100002300