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21233101312 = 291931181389
BaseRepresentation
bin10011110001100101…
…110110101000000000
32000210202211022020201
4103301211312220000
5321441133220222
613430535014544
71351114245313
oct236145665000
960722738221
1021233101312
119006594315
124146b0a454
132004cbb897
141055d9097a
15844144427
hex4f1976a00

21233101312 has 160 divisors (see below), whose sum is σ = 46472025600. Its totient is φ = 9654681600.

The previous prime is 21233101301. The next prime is 21233101321. The reversal of 21233101312 is 21310133212.

It is a super-2 number, since 2×212331013122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 21233101312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54583614 + ... + 54584002.

It is an arithmetic number, because the mean of its divisors is an integer number (290450160).

Almost surely, 221233101312 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 21233101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23236012800).

21233101312 is an abundant number, since it is smaller than the sum of its proper divisors (25238924288).

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

21233101312 is a wasteful number, since it uses less digits than its factorization.

21233101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 21233101312 its reverse (21310133212), we get a palindrome (42543234524).

The spelling of 21233101312 in words is "twenty-one billion, two hundred thirty-three million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 128 152 181 248 256 304 362 389 496 512 589 608 724 778 992 1178 1216 1448 1556 1984 2356 2432 2896 3112 3439 3968 4712 4864 5611 5792 6224 6878 7391 7936 9424 9728 11222 11584 12059 12448 13756 14782 15872 18848 22444 23168 24118 24896 27512 29564 37696 44888 46336 48236 49792 55024 59128 70409 75392 89776 92672 96472 99584 106609 110048 118256 140818 150784 179552 192944 199168 213218 220096 229121 236512 281636 301568 359104 385888 426436 440192 458242 473024 563272 718208 771776 852872 880384 916484 946048 1126544 1337771 1436416 1543552 1705744 1760768 1832968 1892096 2182679 2253088 2675542 2872832 3087104 3411488 3665936 3784192 4365358 4506176 5351084 6174208 6822976 7331872 8730716 9012352 10702168 13645952 14663744 17461432 18024704 21404336 27291904 29327488 34922864 36049408 41470901 42808672 54583808 58654976 69845728 82941802 85617344 117309952 139691456 165883604 171234688 279382912 331767208 342469376 558765824 663534416 684938752 1117531648 1327068832 2654137664 5308275328 10616550656 21233101312