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10221111223000 = 235343713347891
BaseRepresentation
bin1001010010111100100110…
…1101000010001011011000
31100012010110211000011221221
42110233021231002023120
52314430313433114000
633423302541541424
72103310443623356
oct224571155021330
940163424004857
1010221111223000
113290826904557
121190b05574874
13591b01132412
142749c0d167d6
1512ad1b98461a
hex94bc9b422d8

10221111223000 has 128 divisors (see below), whose sum is σ = 24818325143040. Its totient is φ = 3937118640000.

The previous prime is 10221111222983. The next prime is 10221111223021. The reversal of 10221111223000 is 32211112201.

It is a super-2 number, since 2×102211112230002 (a number of 27 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 31 ways as a sum of consecutive naturals, for example, 1379055 + ... + 4726945.

It is an arithmetic number, because the mean of its divisors is an integer number (193893165180).

Almost surely, 210221111223000 is an apocalyptic number.

10221111223000 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 10221111223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12409162571520).

10221111223000 is an abundant number, since it is smaller than the sum of its proper divisors (14597213920040).

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

10221111223000 is a wasteful number, since it uses less digits than its factorization.

10221111223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3348026 (or 3348012 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10221111223000 its reverse (32211112201), we get a palindrome (10253322335201).

The spelling of 10221111223000 in words is "ten trillion, two hundred twenty-one billion, one hundred eleven million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 71 86 100 125 142 172 200 215 250 284 344 355 430 500 568 710 860 1000 1075 1420 1720 1775 2150 2840 3053 3550 4300 5375 6106 7100 8600 8875 10750 12212 14200 15265 17750 21500 24424 30530 35500 43000 61060 71000 76325 122120 152650 305300 381625 610600 763250 1526500 3053000 3347891 6695782 13391564 16739455 26783128 33478910 66957820 83697275 133915640 143959313 167394550 237700261 287918626 334789100 418486375 475400522 575837252 669578200 719796565 836972750 950801044 1151674504 1188501305 1439593130 1673945500 1901602088 2377002610 2879186260 3347891000 3598982825 4754005220 5758372520 5942506525 7197965650 9508010440 10221111223 11885013050 14395931300 17994914125 20442222446 23770026100 28791862600 29712532625 35989828250 40884444892 47540052200 51105556115 59425065250 71979656500 81768889784 102211112230 118850130500 143959313000 204422224460 237700261000 255527780575 408844448920 511055561150 1022111122300 1277638902875 2044222244600 2555277805750 5110555611500 10221111223000