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1022020231320 = 233451128676213
BaseRepresentation
bin11101101111101010010…
…01110010000010011000
310121201000100101002010000
432313311021302002120
5113221044134400240
62101302024253000
7133560420426114
oct16676511620230
93551010332100
101022020231320
1136448885a680
121460a8611160
13754b738230a
1437674b72744
151b8b9a3e430
hexedf5272098

1022020231320 has 160 divisors (see below), whose sum is σ = 3747407645520. Its totient is φ = 247762471680.

The previous prime is 1022020231319. The next prime is 1022020231357. The reversal of 1022020231320 is 231320202201.

1022020231320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 1022020231293 and 1022020231302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14302467 + ... + 14373746.

Almost surely, 21022020231320 is an apocalyptic number.

1022020231320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022020231320 is an abundant number, since it is smaller than the sum of its proper divisors (2725387414200).

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

1022020231320 is a wasteful number, since it uses less digits than its factorization.

1022020231320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28676247 (or 28676234 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1022020231320 its reverse (231320202201), we get a palindrome (1253340433521).

The spelling of 1022020231320 in words is "one trillion, twenty-two billion, twenty million, two hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 81 88 90 99 108 110 120 132 135 162 165 180 198 216 220 264 270 297 324 330 360 396 405 440 495 540 594 648 660 792 810 891 990 1080 1188 1320 1485 1620 1782 1980 2376 2970 3240 3564 3960 4455 5940 7128 8910 11880 17820 35640 28676213 57352426 86028639 114704852 143381065 172057278 229409704 258085917 286762130 315438343 344114556 430143195 516171834 573524260 630876686 688229112 774257751 860286390 946315029 1032343668 1147048520 1261753372 1290429585 1548515502 1577191715 1720572780 1892630058 2064687336 2322773253 2523506744 2580859170 2838945087 3097031004 3154383430 3441145560 3785260116 3871288755 4645546506 4731575145 5161718340 5677890174 6194062008 6308766860 7570520232 7742577510 8516835261 9291093012 9463150290 10323436680 11355780348 11613866265 12617533720 14194725435 15485155020 17033670522 18582186024 18926300580 22711560696 23227732530 25550505783 28389450870 30970310040 34067341044 37852601160 42584176305 46455465060 51101011566 56778901740 68134682088 85168352610 92910930120 102202023132 113557803480 127752528915 170336705220 204404046264 255505057830 340673410440 511010115660 1022020231320