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2122012003100 = 22521131199312709
BaseRepresentation
bin11110111000010001110…
…001011000101100011100
321111212021122221210211212
4132320101301120230130
5234231340033044400
64302501105403552
7306211302263513
oct36702161305434
97455248853755
102122012003100
11748a38500690
122a33156395b8
13125149539302
14749c50d767a
153a2e9917335
hex1ee11c58b1c

2122012003100 has 144 divisors (see below), whose sum is σ = 5211499776000. Its totient is φ = 742994208000.

The previous prime is 2122012003099. The next prime is 2122012003117. The reversal of 2122012003100 is 13002102212.

It is a happy number.

It is a super-2 number, since 2×21220120031002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 6629546 + ... + 6942254.

Almost surely, 22122012003100 is an apocalyptic number.

2122012003100 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 2122012003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2605749888000).

2122012003100 is an abundant number, since it is smaller than the sum of its proper divisors (3089487772900).

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

2122012003100 is a wasteful number, since it uses less digits than its factorization.

2122012003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312964 (or 312957 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2122012003100 its reverse (13002102212), we get a palindrome (2135014105312).

The spelling of 2122012003100 in words is "two trillion, one hundred twenty-two billion, twelve million, three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 199 220 275 310 341 398 550 620 682 775 796 995 1100 1364 1550 1705 1990 2189 3100 3410 3980 4378 4975 6169 6820 8525 8756 9950 10945 12338 17050 19900 21890 24676 30845 34100 43780 54725 61690 67859 109450 123380 135718 154225 218900 271436 308450 312709 339295 616900 625418 678590 1250836 1357180 1563545 1696475 3127090 3392950 3439799 6254180 6785900 6879598 7817725 9693979 13759196 15635450 17198995 19387958 31270900 34397990 38775916 48469895 62229091 68795980 85994975 96939790 106633769 124458182 171989950 193879580 213267538 242349475 248916364 311145455 343979900 426535076 484698950 533168845 622290910 684520001 969397900 1066337690 1244581820 1369040002 1555727275 1929101821 2132675380 2665844225 2738080004 3111454550 3422600005 3858203642 5331688450 6222909100 6845200010 7716407284 9645509105 10663376900 13690400020 17113000025 19291018210 21220120031 34226000050 38582036420 42440240062 48227545525 68452000100 84880480124 96455091050 106100600155 192910182100 212201200310 424402400620 530503000775 1061006001550 2122012003100