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220202211002100 = 223523138361821559
BaseRepresentation
bin110010000100010111010010…
…100100001100011011110100
31001212200010101200202210102020
4302010113102210030123310
5212330243112004031400
62100155255455113140
764245041031444615
oct6204272244143364
91055603350683366
10220202211002100
11641882624a6148
12208447b6b127b0
1395b3c96976142
143c53bb5865c0c
151a6ce7153b2a0
hexc845d290c6f4

220202211002100 has 144 divisors (see below), whose sum is σ = 659387769815040. Its totient is φ = 56678004374400.

The previous prime is 220202211002093. The next prime is 220202211002101. The reversal of 220202211002100 is 1200112202022.

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 220202211002100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220202211002101) 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, 27348880 + ... + 34472679.

Almost surely, 2220202211002100 is an apocalyptic number.

220202211002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220202211002100 is an abundant number, since it is smaller than the sum of its proper divisors (439185558812940).

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

220202211002100 is a wasteful number, since it uses less digits than its factorization.

220202211002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61821990 (or 61821983 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 220202211002100 its reverse (1200112202022), we get a palindrome (221402323204122).

The spelling of 220202211002100 in words is "two hundred twenty trillion, two hundred two billion, two hundred eleven million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 383 465 620 766 775 930 1149 1532 1550 1860 1915 2298 2325 3100 3830 4596 4650 5745 7660 9300 9575 11490 11873 19150 22980 23746 28725 35619 38300 47492 57450 59365 71238 114900 118730 142476 178095 237460 296825 356190 593650 712380 890475 1187300 1780950 3561900 61821559 123643118 185464677 247286236 309107795 370929354 618215590 741858708 927323385 1236431180 1545538975 1854646770 1916468329 3091077950 3709293540 3832936658 4636616925 5749404987 6182155900 7665873316 9273233850 9582341645 11498809974 18546467700 19164683290 22997619948 23677657097 28747024935 38329366580 47355314194 47911708225 57494049870 71032971291 94710628388 95823416450 114988099740 118388285485 142065942582 143735124675 191646832900 236776570970 284131885164 287470249350 355164856455 473553141940 574940498700 591941427425 710329712910 734007370007 1183882854850 1420659425820 1468014740014 1775824282275 2202022110021 2367765709700 2936029480028 3551648564550 3670036850035 4404044220042 7103297129100 7340073700070 8808088440084 11010110550105 14680147400140 18350184250175 22020221100210 36700368500350 44040442200420 55050552750525 73400737000700 110101105501050 220202211002100