Search a number
-
+
101021000211120 = 24351138399910001
BaseRepresentation
bin10110111110000011001000…
…110101010001101010110000
3111020200111212012100012201210
4112332003020311101222300
5101220112002023223440
6554504223512400120
730164345362555503
oct2676031065215260
9436614765305653
10101021000211120
112a208847009550
12b3b66686a6040
13444a31609b6c2
141ad362a30513a
15ba2bc49c5a80
hex5be0c8d51ab0

101021000211120 has 160 divisors (see below), whose sum is σ = 342526655176704. Its totient is φ = 24425996800000.

The previous prime is 101021000211113. The next prime is 101021000211163. The reversal of 101021000211120 is 21112000120101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101021000211096 and 101021000211105.

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, 48943881 + ... + 50966120.

Almost surely, 2101021000211120 is an apocalyptic number.

101021000211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021000211120 is an abundant number, since it is smaller than the sum of its proper divisors (241505654965584).

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

101021000211120 is a wasteful number, since it uses less digits than its factorization.

101021000211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99910411 (or 99910405 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101021000211120 its reverse (21112000120101), we get a palindrome (122133000331221).

The spelling of 101021000211120 in words is "one hundred one trillion, twenty-one billion, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 383 440 528 660 766 880 1149 1320 1532 1915 2298 2640 3064 3830 4213 4596 5745 6128 7660 8426 9192 11490 12639 15320 16852 18384 21065 22980 25278 30640 33704 42130 45960 50556 63195 67408 84260 91920 101112 126390 168520 202224 252780 337040 505560 1011120 99910001 199820002 299730003 399640004 499550005 599460006 799280008 999100010 1099010011 1198920012 1498650015 1598560016 1998200020 2198020022 2397840024 2997300030 3297030033 3996400040 4396040044 4795680048 5495050055 5994600060 6594060066 7992800080 8792080088 10990100110 11989200120 13188120132 16485150165 17584160176 21980200220 23978400240 26376240264 32970300330 38265530383 43960400440 52752480528 65940600660 76531060766 87920800880 114796591149 131881201320 153062121532 191327651915 229593182298 263762402640 306124243064 382655303830 420920834213 459186364596 573982955745 612248486128 765310607660 841841668426 918372729192 1147965911490 1262762502639 1530621215320 1683683336852 1836745458384 2104604171065 2295931822980 2525525005278 3061242430640 3367366673704 4209208342130 4591863645960 5051050010556 6313812513195 6734733347408 8418416684260 9183727291920 10102100021112 12627625026390 16836833368520 20204200042224 25255250052780 33673666737040 50510500105560 101021000211120