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2131224202044 = 22327172321629767
BaseRepresentation
bin11111000000110110110…
…111001000101100111100
321112202001200100000002100
4133000312313020230330
5234404221343431134
64311023151025100
7306655502550420
oct37006667105474
97482050300070
102131224202044
11751935557043
122a506680b190
13125c86c552c2
147521a788b80
153a68855c999
hex1f036dc8b3c

2131224202044 has 144 divisors (see below), whose sum is σ = 6802475516928. Its totient is φ = 548184789504.

The previous prime is 2131224202039. The next prime is 2131224202049. The reversal of 2131224202044 is 4402024221312.

It is a happy number.

2131224202044 is a `hidden beast` number, since 2 + 1 + 31 + 2 + 2 + 420 + 204 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2131224202039) and next prime (2131224202049).

It is a junction number, because it is equal to n+sod(n) for n = 2131224201999 and 2131224202017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131224202049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10716352 + ... + 10913415.

It is an arithmetic number, because the mean of its divisors is an integer number (47239413312).

Almost surely, 22131224202044 is an apocalyptic number.

It is an amenable number.

2131224202044 is an abundant number, since it is smaller than the sum of its proper divisors (4671251314884).

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

2131224202044 is a wasteful number, since it uses less digits than its factorization.

2131224202044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21629824 (or 21629819 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2131224202044 its reverse (4402024221312), we get a palindrome (6533248423356).

The spelling of 2131224202044 in words is "two trillion, one hundred thirty-one billion, two hundred twenty-four million, two hundred two thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 23 28 34 36 42 46 51 63 68 69 84 92 102 119 126 138 153 161 204 207 238 252 276 306 322 357 391 414 476 483 612 644 714 782 828 966 1071 1173 1428 1449 1564 1932 2142 2346 2737 2898 3519 4284 4692 5474 5796 7038 8211 10948 14076 16422 24633 32844 49266 98532 21629767 43259534 64889301 86519068 129778602 151408369 194667903 259557204 302816738 367706039 389335806 454225107 497484641 605633476 735412078 778671612 908450214 994969282 1103118117 1362675321 1470824156 1492453923 1816900428 1989938564 2206236234 2573942273 2725350642 2984907846 3309354351 3482392487 4412472468 4477361769 5147884546 5450701284 5969815692 6618708702 6964784974 7721826819 8457238897 8954723538 10295769092 10447177461 13237417404 13929569948 15443653638 16914477794 17909447076 20894354922 23165480457 25371716691 30887307276 31341532383 33828955588 41788709844 46330960914 50743433382 59200672279 62683064766 76115150073 92661921828 101486866764 118401344558 125366129532 152230300146 177602016837 236802689116 304460600292 355204033674 532806050511 710408067348 1065612101022 2131224202044