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101220002324440 = 23523719764320021
BaseRepresentation
bin10111000000111100011110…
…010010000101111111011000
3111021101112111222221000001021
4113000330132102011333120
5101231342031043340230
6555135454354332224
730214622005613056
oct2700743622057730
9437345458830037
10101220002324440
112a28518656a70a
12b429145b8a074
13446300b74058c
141add107a691d6
15ba7e70534c7a
hex5c0f1e485fd8

101220002324440 has 128 divisors (see below), whose sum is σ = 238020510873600. Its totient is φ = 38666798410240.

The previous prime is 101220002324423. The next prime is 101220002324443. The reversal of 101220002324440 is 44423200022101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101220002324443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5055681630 + ... + 5055701650.

It is an arithmetic number, because the mean of its divisors is an integer number (1859535241200).

Almost surely, 2101220002324440 is an apocalyptic number.

101220002324440 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 101220002324440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119010255436800).

101220002324440 is an abundant number, since it is smaller than the sum of its proper divisors (136800508549160).

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

101220002324440 is a wasteful number, since it uses less digits than its factorization.

101220002324440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28417 (or 28413 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 101220002324440 its reverse (44423200022101), we get a palindrome (145643202346541).

The spelling of 101220002324440 in words is "one hundred one trillion, two hundred twenty billion, two million, three hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 719 920 1438 2876 3595 5752 7190 7643 14380 15286 16537 20021 28760 30572 33074 38215 40042 61144 66148 76430 80084 82685 100105 132296 152860 160168 165370 175789 200210 305720 330740 351578 400420 460483 661480 703156 800840 878945 920966 1406312 1757890 1841932 2302415 3515780 3683864 4604830 5495317 7031560 9209660 10990634 14395099 18419320 21981268 27476585 28790198 43962536 54953170 57580396 71975495 109906340 115160792 126392291 143950990 153020503 219812680 252784582 287901980 306041006 331087277 505569164 575803960 612082012 631961455 662174554 765102515 1011138328 1224164024 1263922910 1324349108 1530205030 1655436385 2527845820 2648698216 3060410060 3310872770 3519471569 5055691640 6120820120 6621745540 7038943138 13243491080 14077886276 17597357845 28155772552 35194715690 70389431380 110021741657 140778862760 220043483314 440086966628 550108708285 880173933256 1100217416570 2200434833140 2530500058111 4400869666280 5061000116222 10122000232444 12652500290555 20244000464888 25305000581110 50610001162220 101220002324440