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10122030210 = 23523157223419
BaseRepresentation
bin10010110110101000…
…11110110010000010
3222010102101102002210
421123110132302002
5131212214431320
64352222122550
7505555560105
oct113324366202
928112342083
1010122030210
114324693126
121b65a20456
13c540754b6
146c044a73c
153e39650e0
hex25b51ec82

10122030210 has 128 divisors (see below), whose sum is σ = 25686097920. Its totient is φ = 2547806976.

The previous prime is 10122030209. The next prime is 10122030313. The reversal of 10122030210 is 1203022101.

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, 24157381 + ... + 24157799.

It is an arithmetic number, because the mean of its divisors is an integer number (200672640).

Almost surely, 210122030210 is an apocalyptic number.

10122030210 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 10122030210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12843048960).

10122030210 is an abundant number, since it is smaller than the sum of its proper divisors (15564067710).

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

10122030210 is a wasteful number, since it uses less digits than its factorization.

10122030210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832.

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

Adding to 10122030210 its reverse (1203022101), we get a palindrome (11325052311).

The spelling of 10122030210 in words is "ten billion, one hundred twenty-two million, thirty thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 157 223 230 314 345 419 446 471 669 690 785 838 942 1115 1257 1338 1570 2095 2230 2355 2514 3345 3611 4190 4710 5129 6285 6690 7222 9637 10258 10833 12570 15387 18055 19274 21666 25645 28911 30774 35011 36110 48185 51290 54165 57822 65783 70022 76935 93437 96370 105033 108330 131566 144555 153870 175055 186874 197349 210066 280311 289110 328915 350110 394698 467185 525165 560622 657830 805253 934370 986745 1050330 1401555 1513009 1610506 1973490 2149051 2415759 2803110 3026018 4026265 4298102 4539027 4831518 6447153 7565045 8052530 9078054 10745255 12078795 12894306 14669609 15130090 21490510 22695135 24157590 29339218 32235765 44008827 45390270 64471530 73348045 88017654 146696090 220044135 337401007 440088270 674802014 1012203021 1687005035 2024406042 3374010070 5061015105 10122030210