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10000221010110 = 2335103911394721
BaseRepresentation
bin1001000110000101101110…
…0111101111100010111110
31022102000022121002201201000
42101201123213233202332
52302320423034310420
633134012122031130
72051330541035532
oct221413347574276
938360277081630
1010000221010110
113206085067201
1211561399484a6
1357702ab8a936
1426802861dbc2
151251de54c690
hex9185b9ef8be

10000221010110 has 128 divisors (see below), whose sum is σ = 26955786424320. Its totient is φ = 2637929548800.

The previous prime is 10000221010103. The next prime is 10000221010183. The reversal of 10000221010110 is 1101012200001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10000221010092 and 10000221010101.

It is a congruent number.

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, 25137550 + ... + 25532270.

It is an arithmetic number, because the mean of its divisors is an integer number (210592081440).

Almost surely, 210000221010110 is an apocalyptic number.

10000221010110 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 10000221010110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13477893212160).

10000221010110 is an abundant number, since it is smaller than the sum of its proper divisors (16955565414210).

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

10000221010110 is a wasteful number, since it uses less digits than its factorization.

10000221010110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395751 (or 395745 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10000221010110 its reverse (1101012200001), we get a palindrome (11101233210111).

The spelling of 10000221010110 in words is "ten trillion, two hundred twenty-one million, ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 103 135 206 270 309 515 618 911 927 1030 1545 1822 1854 2733 2781 3090 4555 4635 5466 5562 8199 9110 9270 13665 13905 16398 24597 27330 27810 40995 49194 81990 93833 122985 187666 245970 281499 394721 469165 562998 789442 844497 938330 1184163 1407495 1688994 1973605 2368326 2533491 2814990 3552489 3947210 4222485 5066982 5920815 7104978 8444970 10657467 11841630 12667455 17762445 21314934 25334910 35524890 40656263 53287335 81312526 106574670 121968789 203281315 243937578 359590831 365906367 406562630 609843945 719181662 731812734 1078772493 1097719101 1219687890 1797954155 1829531835 2157544986 2195438202 3236317479 3595908310 3659063670 5393862465 5488595505 6472634958 9708952437 10787724930 10977191010 16181587395 19417904874 32363174790 37037855593 48544762185 74075711186 97089524370 111113566779 185189277965 222227133558 333340700337 370378555930 555567833895 666681400674 1000022101011 1111135667790 1666703501685 2000044202022 3333407003370 5000110505055 10000221010110