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1022153411104 = 25729711359473
BaseRepresentation
bin11101101111111010001…
…01110100101000100000
310121201100121222022102121
432313331011310220200
5113221332233123404
62101323142554024
7133563625432300
oct16677505645040
93551317868377
101022153411104
11364546a53611
12146125138914
1375508b42217
143768871d600
151b8c6599e54
hexedfd174a20

1022153411104 has 144 divisors (see below), whose sum is σ = 2386016709048. Its totient is φ = 429705658368.

The previous prime is 1022153411093. The next prime is 1022153411113. The reversal of 1022153411104 is 4011143512201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 646448160400 + 375705250704 = 804020^2 + 612948^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17157112 + ... + 17216584.

Almost surely, 21022153411104 is an apocalyptic number.

1022153411104 is a gapful number since it is divisible by the number (14) 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 1022153411104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193008354524).

1022153411104 is an abundant number, since it is smaller than the sum of its proper divisors (1363863297944).

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

1022153411104 is a wasteful number, since it uses less digits than its factorization.

1022153411104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59707 (or 59692 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 1022153411104 its reverse (4011143512201), we get a palindrome (5033296923305).

The spelling of 1022153411104 in words is "one trillion, twenty-two billion, one hundred fifty-three million, four hundred eleven thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 97 98 112 113 194 196 224 226 388 392 452 679 776 784 791 904 1358 1552 1568 1582 1808 2716 3104 3164 3616 4753 5432 5537 6328 9506 10864 10961 11074 12656 19012 21728 21922 22148 25312 38024 43844 44296 59473 76048 76727 87688 88592 118946 152096 153454 175376 177184 237892 306908 350752 416311 475784 537089 613816 832622 951568 1074178 1227632 1665244 1903136 2148356 2455264 2914177 3330488 4296712 5768881 5828354 6660976 6720449 8593424 11537762 11656708 13321952 13440898 17186848 23075524 23313416 26881796 40382167 46151048 46626832 47043143 53763592 80764334 92302096 93253664 94086286 107527184 161528668 184604192 188172572 215054368 282675169 323057336 329302001 376345144 565350338 646114672 651883553 658604002 752690288 1130700676 1292229344 1303767106 1317208004 1505380576 2261401352 2607534212 2634416008 4522802704 4563184871 5215068424 5268832016 9045605408 9126369742 10430136848 10537664032 18252739484 20860273696 31942294097 36505478968 63884588194 73010957936 127769176388 146021915872 255538352776 511076705552 1022153411104