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10122221001210 = 23523292512015371
BaseRepresentation
bin1001001101001100001101…
…1000110001100111111010
31022211200012222121102012220
42103103003120301213322
52311320302034014320
633310030101144510
72063210033615013
oct223230330614772
938750188542186
1010122221001210
11325289a96222a
1211759073bb136
135856a1518296
1426dcbd41c00a
1512847edb2e40
hex934c36319fa

10122221001210 has 128 divisors (see below), whose sum is σ = 26328174888960. Its totient is φ = 2482935840000.

The previous prime is 10122221001169. The next prime is 10122221001229. The reversal of 10122221001210 is 1210012222101.

10122221001210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10122221001210.

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, 4014825 + ... + 6030195.

It is an arithmetic number, because the mean of its divisors is an integer number (205688866320).

Almost surely, 210122221001210 is an apocalyptic number.

10122221001210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122221001210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13164087444480).

10122221001210 is an abundant number, since it is smaller than the sum of its proper divisors (16205953887750).

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

10122221001210 is a wasteful number, since it uses less digits than its factorization.

10122221001210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015684.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10122221001210 its reverse (1210012222101), we get a palindrome (11332233223311).

The spelling of 10122221001210 in words is "ten trillion, one hundred twenty-two billion, two hundred twenty-one million, one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 23 29 30 46 58 69 87 115 138 145 174 230 251 290 345 435 502 667 690 753 870 1255 1334 1506 2001 2510 3335 3765 4002 5773 6670 7279 7530 10005 11546 14558 17319 20010 21837 28865 34638 36395 43674 57730 72790 86595 109185 167417 173190 218370 334834 502251 837085 1004502 1674170 2015371 2511255 4030742 5022510 6046113 10076855 12092226 20153710 30230565 46353533 58445759 60461130 92707066 116891518 139060599 175337277 231767665 278121198 292228795 350674554 463535330 505858121 584457590 695302995 876686385 1011716242 1344252457 1390605990 1517574363 1753372770 2529290605 2688504914 3035148726 4032757371 5058581210 6721262285 7587871815 8065514742 11634736783 13442524570 14669885509 15175743630 20163786855 23269473566 29339771018 34904210349 40327573710 44009656527 58173683915 69808420698 73349427545 88019313054 116347367830 146698855090 174521051745 220048282635 337407366707 349042103490 440096565270 674814733414 1012222100121 1687036833535 2024444200242 3374073667070 5061110500605 10122221001210