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21123121000 = 2353315911549
BaseRepresentation
bin10011101011000010…
…010011111101101000
32000112002212201121211
4103223002103331220
5321230004333000
613412005442504
71345310365102
oct235302237550
960462781554
1021123121000
118a5a4a64a3
124116110434
131cb8292487
141045522572
1583966c7ba
hex4eb093f68

21123121000 has 128 divisors (see below), whose sum is σ = 51891840000. Its totient is φ = 8037408000.

The previous prime is 21123120947. The next prime is 21123121001. The reversal of 21123121000 is 12132112.

It is not an unprimeable number, because it can be changed into a prime (21123121001) 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, 1823226 + ... + 1834774.

It is an arithmetic number, because the mean of its divisors is an integer number (405405000).

Almost surely, 221123121000 is an apocalyptic number.

21123121000 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 21123121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25945920000).

21123121000 is an abundant number, since it is smaller than the sum of its proper divisors (30768719000).

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

21123121000 is a wasteful number, since it uses less digits than its factorization.

21123121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11660 (or 11646 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 21123121000 its reverse (12132112), we get a palindrome (21135253112).

The spelling of 21123121000 in words is "twenty-one billion, one hundred twenty-three million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 59 62 100 118 124 125 155 200 236 248 250 295 310 472 500 590 620 775 1000 1180 1240 1475 1550 1829 2360 2950 3100 3658 3875 5900 6200 7316 7375 7750 9145 11549 11800 14632 14750 15500 18290 23098 29500 31000 36580 45725 46196 57745 59000 73160 91450 92392 115490 182900 228625 230980 288725 358019 365800 457250 461960 577450 681391 716038 914500 1154900 1362782 1432076 1443625 1790095 1829000 2309800 2725564 2864152 2887250 3406955 3580190 5451128 5774500 6813910 7160380 8950475 11549000 13627820 14320760 17034775 17900950 21123121 27255640 34069550 35801900 42246242 44752375 68139100 71603800 84492484 85173875 89504750 105615605 136278200 168984968 170347750 179009500 211231210 340695500 358019000 422462420 528078025 681391000 844924840 1056156050 2112312100 2640390125 4224624200 5280780250 10561560500 21123121000