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21000220000120 = 23553167421140893
BaseRepresentation
bin1001100011001011111101…
…01001110011111101111000
32202100121020102212002120101
410301211332221303331320
510223031422310000440
6112355211244005144
74265134012524454
oct461457651637570
982317212762511
1021000220000120
116767163796309
122431b972307b4
13b9440a01a05a
145285b79b1664
152663e5aa769a
hex13197ea73f78

21000220000120 has 128 divisors (see below), whose sum is σ = 48545670176640. Its totient is φ = 8172727879680.

The previous prime is 21000220000073. The next prime is 21000220000139. The reversal of 21000220000120 is 2100002200012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 21000220000097 and 21000220000106.

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, 148980394 + ... + 149121286.

It is an arithmetic number, because the mean of its divisors is an integer number (379263048255).

Almost surely, 221000220000120 is an apocalyptic number.

21000220000120 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 21000220000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24272835088320).

21000220000120 is an abundant number, since it is smaller than the sum of its proper divisors (27545450176520).

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

21000220000120 is a wasteful number, since it uses less digits than its factorization.

21000220000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141545 (or 141541 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 21000220000120 its reverse (2100002200012), we get a palindrome (23100222200132).

The spelling of 21000220000120 in words is "twenty-one trillion, two hundred twenty million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 53 106 167 212 265 334 421 424 530 668 835 842 1060 1336 1670 1684 2105 2120 3340 3368 4210 6680 8420 8851 16840 17702 22313 35404 44255 44626 70307 70808 88510 89252 111565 140614 140893 177020 178504 223130 281228 281786 351535 354040 446260 562456 563572 703070 704465 892520 1127144 1406140 1408930 2812280 2817860 3726271 5635720 7452542 7467329 14905084 14934658 18631355 23529131 29810168 29869316 37262710 37336645 47058262 59315953 59738632 74525420 74673290 94116524 117645655 118631906 149050840 149346580 188233048 235291310 237263812 296579765 298693160 470582620 474527624 593159530 941165240 1186319060 1247043943 2372638120 2494087886 3143745509 4988175772 6235219715 6287491018 9905764151 9976351544 12470439430 12574982036 15718727545 19811528302 24940878860 25149964072 31437455090 39623056604 49528820755 49881757720 62874910180 79246113208 99057641510 125749820360 198115283020 396230566040 525005500003 1050011000006 2100022000012 2625027500015 4200044000024 5250055000030 10500110000060 21000220000120