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2101124240300 = 22523110130721859
BaseRepresentation
bin11110100100110100110…
…000111001001110101100
321102212100221221111222102
4132210310300321032230
5233411100301142200
64245124304234232
7304541550236051
oct36446460711654
97385327844872
102101124240300
117400999482a8
1229b26630b978
1312319ac60c57
14739a2d5d028
15399c5c8a6d5
hex1e934c393ac

2101124240300 has 144 divisors (see below), whose sum is σ = 4768818109440. Its totient is φ = 802625760000.

The previous prime is 2101124240291. The next prime is 2101124240311. The reversal of 2101124240300 is 30424211012.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 96110771 + ... + 96132629.

Almost surely, 22101124240300 is an apocalyptic number.

2101124240300 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 2101124240300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384409054720).

2101124240300 is an abundant number, since it is smaller than the sum of its proper divisors (2667693869140).

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

2101124240300 is a wasteful number, since it uses less digits than its factorization.

2101124240300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22312 (or 22305 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2101124240300 its reverse (30424211012), we get a palindrome (2131548451312).

The spelling of 2101124240300 in words is "two trillion, one hundred one billion, one hundred twenty-four million, two hundred forty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 101 124 155 202 307 310 404 505 614 620 775 1010 1228 1535 1550 2020 2525 3070 3100 3131 5050 6140 6262 7675 9517 10100 12524 15350 15655 19034 21859 30700 31007 31310 38068 43718 47585 62014 62620 78275 87436 95170 109295 124028 155035 156550 190340 218590 237925 310070 313100 437180 475850 546475 620140 677629 775175 951700 961217 1092950 1355258 1550350 1922434 2185900 2207759 2710516 3100700 3388145 3844868 4415518 4806085 6710713 6776290 8831036 9612170 11038795 13421426 13552580 16940725 19224340 22077590 24030425 26842852 33553565 33881450 44155180 48060850 55193975 67107130 67762900 68440529 96121700 110387950 134214260 136881058 167767825 208032103 220775900 273762116 335535650 342202645 416064206 671071300 677782013 684405290 832128412 1040160515 1355564026 1368810580 1711013225 2080321030 2711128052 3388910065 3422026450 4160642060 5200802575 6777820130 6844052900 10401605150 13555640260 16944550325 20803210300 21011242403 33889100650 42022484806 67778201300 84044969612 105056212015 210112424030 420224848060 525281060075 1050562120150 2101124240300