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12101021430 = 23517316311213
BaseRepresentation
bin10110100010100011…
…01110111011110110
31011020100012120200220
423101101232323312
5144240330141210
65320434515210
7605605661601
oct132121567366
934210176626
1012101021430
11514a790563
122418735b06
1311ab075214
1482b1d7338
154ac577c70
hex2d146eef6

12101021430 has 128 divisors (see below), whose sum is σ = 31819309056. Its totient is φ = 2932070400.

The previous prime is 12101021417. The next prime is 12101021431. The reversal of 12101021430 is 3412010121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101021431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9975504 + ... + 9976716.

It is an arithmetic number, because the mean of its divisors is an integer number (248588352).

Almost surely, 212101021430 is an apocalyptic number.

12101021430 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 12101021430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15909654528).

12101021430 is an abundant number, since it is smaller than the sum of its proper divisors (19718287626).

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

12101021430 is a wasteful number, since it uses less digits than its factorization.

12101021430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12101021430 its reverse (3412010121), we get a palindrome (15513031551).

The spelling of 12101021430 in words is "twelve billion, one hundred one million, twenty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 62 85 93 102 155 170 186 255 310 465 510 527 631 930 1054 1213 1262 1581 1893 2426 2635 3155 3162 3639 3786 5270 6065 6310 7278 7905 9465 10727 12130 15810 18195 18930 19561 20621 21454 32181 36390 37603 39122 41242 53635 58683 61863 64362 75206 97805 103105 107270 112809 117366 123726 160905 188015 195610 206210 225618 293415 309315 321810 332537 376030 564045 586830 618630 639251 665074 765403 997611 1128090 1278502 1530806 1662685 1917753 1995222 2296209 3196255 3325370 3827015 3835506 4592418 4988055 6392510 7654030 9588765 9976110 11481045 13011851 19177530 22962090 23727493 26023702 39035553 47454986 65059255 71182479 78071106 118637465 130118510 142364958 195177765 237274930 355912395 390355530 403367381 711824790 806734762 1210102143 2016836905 2420204286 4033673810 6050510715 12101021430