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10212210320 = 2451321674523
BaseRepresentation
bin10011000001011000…
…11111011010010000
3222100201002000221212
421200230133122100
5131403311212240
64405203035252
7511032232634
oct114054373220
928321060855
1010212210320
114370587844
121b9006bb28
13c6995b400
146cc402dc4
153eb82a165
hex260b1f690

10212210320 has 120 divisors (see below), whose sum is σ = 25869969216. Its totient is φ = 3747254784.

The previous prime is 10212210287. The next prime is 10212210329. The reversal of 10212210320 is 2301221201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10212210295 and 10212210304.

It is not an unprimeable number, because it can be changed into a prime (10212210329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2255579 + ... + 2260101.

Almost surely, 210212210320 is an apocalyptic number.

10212210320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12934984608).

10212210320 is an abundant number, since it is smaller than the sum of its proper divisors (15657758896).

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

10212210320 is a wasteful number, since it uses less digits than its factorization.

10212210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4729 (or 4710 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10212210320 its reverse (2301221201), we get a palindrome (12513431521).

The spelling of 10212210320 in words is "ten billion, two hundred twelve million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 167 169 208 260 334 338 520 668 676 835 845 1040 1336 1352 1670 1690 2171 2672 2704 3340 3380 4342 4523 6680 6760 8684 9046 10855 13360 13520 17368 18092 21710 22615 28223 34736 36184 43420 45230 56446 58799 72368 86840 90460 112892 117598 141115 173680 180920 225784 235196 282230 293995 361840 451568 470392 564460 587990 755341 764387 940784 1128920 1175980 1510682 1528774 2257840 2351960 3021364 3057548 3776705 3821935 4703920 6042728 6115096 7553410 7643870 9819433 12085456 12230192 15106820 15287740 19638866 30213640 30575480 39277732 49097165 60427280 61150960 78555464 98194330 127652629 157110928 196388660 255305258 392777320 510610516 638263145 785554640 1021221032 1276526290 2042442064 2553052580 5106105160 10212210320