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21121012120220 = 225173113071533199
BaseRepresentation
bin1001100110101100111100…
…11011001011101010011100
32202210011000122112120120022
410303112132123023222130
510232021313100321340
6112530505314211312
74306641240564065
oct463263633135234
982704018476508
1021121012120220
116803409799a41
122451488283b38
13ba291a35872c
145303961d156c
1526961537a3b5
hex13359e6cba9c

21121012120220 has 96 divisors (see below), whose sum is σ = 48515256115200. Its totient is φ = 7689049297920.

The previous prime is 21121012120217. The next prime is 21121012120249. The reversal of 21121012120220 is 2202121012112.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13009181 + ... + 14542379.

It is an arithmetic number, because the mean of its divisors is an integer number (505367251200).

Almost surely, 221121012120220 is an apocalyptic number.

21121012120220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21121012120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24257628057600).

21121012120220 is an abundant number, since it is smaller than the sum of its proper divisors (27394243994980).

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

21121012120220 is a wasteful number, since it uses less digits than its factorization.

21121012120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534563 (or 1534561 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 21121012120220 its reverse (2202121012112), we get a palindrome (23323133132332).

The spelling of 21121012120220 in words is "twenty-one trillion, one hundred twenty-one billion, twelve million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 170 310 340 527 620 1054 1307 2108 2614 2635 5228 5270 6535 10540 13070 22219 26140 40517 44438 81034 88876 111095 162068 202585 222190 405170 444380 688789 810340 1377578 1533199 2755156 3066398 3443945 6132796 6887890 7665995 13775780 15331990 26064383 30663980 47529169 52128766 95058338 104257532 130321915 190116676 237645845 260643830 475291690 521287660 807995873 950583380 1615991746 2003891093 3231983492 4007782186 4039979365 8015564372 8079958730 10019455465 16159917460 20038910930 34066148581 40077821860 62120623883 68132297162 124241247766 136264594324 170330742905 248482495532 310603119415 340661485810 621206238830 681322971620 1056050606011 1242412477660 2112101212022 4224202424044 5280253030055 10560506060110 21121012120220