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10321200120 = 23357111117013
BaseRepresentation
bin10011001110011000…
…10000001111111000
3222122022011021212010
421213030100033320
5132114211400440
64424055045520
7513524516310
oct114714201770
928568137763
1010321200120
114417059460
1220006708a0
13c863cba0a
146dca94440
154061a8580
hex2673103f8

10321200120 has 128 divisors (see below), whose sum is σ = 38604003840. Its totient is φ = 2144663040.

The previous prime is 10321200101. The next prime is 10321200139. The reversal of 10321200120 is 2100212301.

It is an interprime number because it is at equal distance from previous prime (10321200101) and next prime (10321200139).

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

It is a junction number, because it is equal to n+sod(n) for n = 10321200096 and 10321200105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 549267 + ... + 567746.

It is an arithmetic number, because the mean of its divisors is an integer number (301593780).

Almost surely, 210321200120 is an apocalyptic number.

10321200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10321200120 is an abundant number, since it is smaller than the sum of its proper divisors (28282803720).

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

10321200120 is a wasteful number, since it uses less digits than its factorization.

10321200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117045 (or 1117041 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10321200120 its reverse (2100212301), we get a palindrome (12421412421).

The spelling of 10321200120 in words is "ten billion, three hundred twenty-one million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 1117013 2234026 3351039 4468052 5585065 6702078 7819091 8936104 11170130 12287143 13404156 15638182 16755195 22340260 23457273 24574286 26808312 31276364 33510390 36861429 39095455 44680520 46914546 49148572 61435715 62552728 67020780 73722858 78190910 86010001 93829092 98297144 117286365 122871430 134041560 147445716 156381820 172020002 184307145 187658184 234572730 245742860 258030003 294891432 312763640 344040004 368614290 430050005 469145460 491485720 516060006 688080008 737228580 860100010 938290920 1032120012 1290150015 1474457160 1720200020 2064240024 2580300030 3440400040 5160600060 10321200120