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101211302220 = 223572186718439
BaseRepresentation
bin101111001000010101…
…0011110100101001100
3100200020120220212111220
41132100222132211030
53124240043132340
6114255033243340
710212052605600
oct1362052364514
9320216825456
10101211302220
1139a18161416
1217747563550
13970c760412
144c81c93500
152975758ed0
hex1790a9e94c

101211302220 has 144 divisors (see below), whose sum is σ = 329854129920. Its totient is φ = 23120366976.

The previous prime is 101211302219. The next prime is 101211302279. The reversal of 101211302220 is 22203112101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101211302220.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5479761 + ... + 5498199.

It is an arithmetic number, because the mean of its divisors is an integer number (2290653680).

Almost surely, 2101211302220 is an apocalyptic number.

101211302220 is a gapful number since it is divisible by the number (10) 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 101211302220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164927064960).

101211302220 is an abundant number, since it is smaller than the sum of its proper divisors (228642827700).

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

101211302220 is a wasteful number, since it uses less digits than its factorization.

101211302220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20332 (or 20323 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 101211302220 its reverse (22203112101), we get a palindrome (123414414321).

The spelling of 101211302220 in words is "one hundred one billion, two hundred eleven million, three hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 1867 2940 3734 5601 7468 9335 11202 13069 18439 18670 22404 26138 28005 36878 37340 39207 52276 55317 56010 65345 73756 78414 91483 92195 110634 112020 129073 130690 156828 182966 184390 196035 221268 258146 261380 274449 276585 365932 368780 387219 392070 457415 516292 548898 553170 645365 774438 784140 903511 914830 1097796 1106340 1290730 1372245 1548876 1807022 1829660 1936095 2581460 2710533 2744490 3614044 3872190 4517555 5421066 5488980 7744380 9035110 10842132 13552665 18070220 27105330 34425613 54210660 68851226 103276839 137702452 172128065 206553678 240979291 344256130 413107356 481958582 516384195 688512260 722937873 963917164 1032768390 1204896455 1445875746 1686855037 2065536780 2409792910 2891751492 3373710074 3614689365 4819585820 5060565111 6747420148 7229378730 8434275185 10121130222 14458757460 16868550370 20242260444 25302825555 33737100740 50605651110 101211302220