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220211021120 = 2657920534243
BaseRepresentation
bin1100110100010110011…
…0011000010101000000
3210001101212212221022012
43031011212120111000
512101443010133440
6245055154232052
721624014536556
oct3150546302500
9701355787265
10220211021120
1185433420542
1236818285628
13179c563c67c
14a930417bd6
155adc9c4e65
hex3345998540

220211021120 has 112 divisors (see below), whose sum is σ = 531399048960. Its totient is φ = 86906566656.

The previous prime is 220211021119. The next prime is 220211021141. The reversal of 220211021120 is 21120112022.

It is a junction number, because it is equal to n+sod(n) for n = 220211021095 and 220211021104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51897719 + ... + 51901961.

Almost surely, 2220211021120 is an apocalyptic number.

220211021120 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 220211021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265699524480).

220211021120 is an abundant number, since it is smaller than the sum of its proper divisors (311188027840).

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

220211021120 is a wasteful number, since it uses less digits than its factorization.

220211021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6392 (or 6382 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 220211021120 its reverse (21120112022), we get a palindrome (241331133142).

The spelling of 220211021120 in words is "two hundred twenty billion, two hundred eleven million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 158 160 316 320 395 632 790 1264 1580 2053 2528 3160 4106 4243 5056 6320 8212 8486 10265 12640 16424 16972 20530 21215 25280 32848 33944 41060 42430 65696 67888 82120 84860 131392 135776 162187 164240 169720 271552 324374 328480 335197 339440 648748 656960 670394 678880 810935 1297496 1340788 1357760 1621870 1675985 2594992 2681576 3243740 3351970 5189984 5363152 6487480 6703940 8710879 10379968 10726304 12974960 13407880 17421758 21452608 25949920 26815760 34843516 43554395 51899840 53631520 69687032 87108790 107263040 139374064 174217580 278748128 348435160 557496256 688159441 696870320 1376318882 1393740640 2752637764 2787481280 3440797205 5505275528 6881594410 11010551056 13763188820 22021102112 27526377640 44042204224 55052755280 110105510560 220211021120