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1021212144 = 243323791301
BaseRepresentation
bin111100110111100…
…111010111110000
32122011120221201000
4330313213113300
54042412242034
6245200042000
734210105611
oct7467472760
92564527630
101021212144
114844a1887
12246003300
13133756254
14998adc08
155e9c1599
hex3cde75f0

1021212144 has 160 divisors (see below), whose sum is σ = 3099801600. Its totient is φ = 321235200.

The previous prime is 1021212139. The next prime is 1021212149. The reversal of 1021212144 is 4412121201.

It is an interprime number because it is at equal distance from previous prime (1021212139) and next prime (1021212149).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021212149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 784294 + ... + 785594.

It is an arithmetic number, because the mean of its divisors is an integer number (19373760).

Almost surely, 21021212144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021212144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549900800).

1021212144 is an abundant number, since it is smaller than the sum of its proper divisors (2078589456).

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

1021212144 is a wasteful number, since it uses less digits than its factorization.

1021212144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1021212144 is about 31956.4100612068. The cubic root of 1021212144 is about 1007.0213006240.

Adding to 1021212144 its reverse (4412121201), we get a palindrome (5433333345).

The spelling of 1021212144 in words is "one billion, twenty-one million, two hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 79 92 108 138 144 158 184 207 216 237 276 316 368 414 432 474 552 621 632 711 828 948 1104 1242 1264 1301 1422 1656 1817 1896 2133 2484 2602 2844 3312 3634 3792 3903 4266 4968 5204 5451 5688 7268 7806 8532 9936 10408 10902 11376 11709 14536 15612 16353 17064 20816 21804 23418 29072 29923 31224 32706 34128 35127 43608 46836 49059 59846 62448 65412 70254 87216 89769 93672 98118 102779 119692 130824 140508 179538 187344 196236 205558 239384 261648 269307 281016 308337 359076 392472 411116 478768 538614 562032 616674 718152 784944 807921 822232 925011 1077228 1233348 1436304 1615842 1644464 1850022 2154456 2363917 2466696 2775033 3231684 3700044 4308912 4727834 4933392 5550066 6463368 7091751 7400088 9455668 11100132 12926736 14183502 14800176 18911336 21275253 22200264 28367004 37822672 42550506 44400528 56734008 63825759 85101012 113468016 127651518 170202024 255303036 340404048 510606072 1021212144