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20122102101210 = 23537229643123113
BaseRepresentation
bin1001001001101000010101…
…01111110111010011011010
32122020122122220002220220120
410210310022233313103122
510114140031114214320
6110443544401534110
74144526306532144
oct444641257672332
978218586086816
1020122102101210
11645881006598a
12230b96b344336
13b2c676b43475
144d7cb4839c94
1524d64e66b440
hex124d0abf74da

20122102101210 has 128 divisors (see below), whose sum is σ = 49892726580480. Its totient is φ = 5189944928256.

The previous prime is 20122102101193. The next prime is 20122102101229. The reversal of 20122102101210 is 1210120122102.

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 20122102101210.

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, 163382614 + ... + 163505726.

It is an arithmetic number, because the mean of its divisors is an integer number (389786926410).

Almost surely, 220122102101210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20122102101210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24946363290240).

20122102101210 is an abundant number, since it is smaller than the sum of its proper divisors (29770624479270).

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

20122102101210 is a wasteful number, since it uses less digits than its factorization.

20122102101210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124032.

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

Adding to 20122102101210 its reverse (1210120122102), we get a palindrome (21332222223312).

The spelling of 20122102101210 in words is "twenty trillion, one hundred twenty-two billion, one hundred two million, one hundred one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 229 370 458 555 643 687 1110 1145 1286 1374 1929 2290 3215 3435 3858 6430 6870 8473 9645 16946 19290 23791 25419 42365 47582 50838 71373 84730 118955 123113 127095 142746 147247 237910 246226 254190 294494 356865 369339 441741 615565 713730 736235 738678 883482 1231130 1472470 1846695 2208705 3693390 4417410 4555181 5448139 9110362 10896278 13665543 16344417 22775905 27240695 27331086 28192877 32688834 45551810 54481390 56385754 68327715 79161659 81722085 84578631 136655430 140964385 158323318 163444170 169157262 237484977 281928770 395808295 422893155 474969954 791616590 845786310 1043136449 1187424885 2086272898 2374849770 2928981383 3129409347 5215682245 5857962766 6258818694 8786944149 10431364490 14644906915 15647046735 17573888298 18128019911 29289813830 31294093470 36256039822 43934720745 54384059733 87869441490 90640099555 108768119466 181280199110 271920298665 543840597330 670736736707 1341473473414 2012210210121 3353683683535 4024420420242 6707367367070 10061051050605 20122102101210