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202123141321202 = 2173110126934720341
BaseRepresentation
bin101101111101010001110110…
…000010100001000111110010
3222111122210011020121011121122
4231331101312002201013302
5202443041143134234302
61553514031140222242
760400625602633043
oct5575216602410762
9874583136534548
10202123141321202
1159447a40a33382
121a80499b09a982
1388a219077264a
1437cab52acc8ca
151857a47bce3a2
hexb7d4760a11f2

202123141321202 has 128 divisors (see below), whose sum is σ = 336884141905920. Its totient is φ = 90532200960000.

The previous prime is 202123141321181. The next prime is 202123141321207.

202123141321202 is nontrivially palindromic in base 10.

202123141321202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (202123141321207) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9936725552 + ... + 9936745892.

It is an arithmetic number, because the mean of its divisors is an integer number (2631907358640).

Almost surely, 2202123141321202 is an apocalyptic number.

202123141321202 is a deficient number, since it is larger than the sum of its proper divisors (134761000584718).

202123141321202 is a wasteful number, since it uses less digits than its factorization.

202123141321202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21108.

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 202123141321202 in words is "two hundred two trillion, one hundred twenty-three billion, one hundred forty-one million, three hundred twenty-one thousand, two hundred two".

Divisors: 1 2 17 31 34 62 101 202 269 347 527 538 694 1054 1717 3131 3434 4573 5899 6262 8339 9146 10757 11798 16678 20341 21514 27169 35047 40682 53227 54338 70094 93343 106454 141763 182869 186686 283526 345797 365738 461873 595799 630571 691594 842239 923746 1086457 1191598 1261142 1586831 1684478 2054441 2172914 2893633 3173662 4108882 5471729 5787266 7058327 9427643 10719707 10943458 14116654 14318063 18469769 18855286 21439414 28636126 34925497 36939538 49191761 63687671 69850994 93019393 98383522 119991559 127375342 160269931 169623599 186038786 218808137 239983118 292256933 320539862 339247198 437616274 552644629 584513866 712891027 1082690407 1105289258 1425782054 1898689963 2165380814 2883601183 3719738329 3797379926 4968367861 5767202366 7439476658 9394958693 9936735722 12119147459 17131983499 18789917386 22099621837 24238294918 32277729371 34263966998 44199243674 58859388853 64555458742 117718777706 191767686263 291243719483 375693571229 383535372526 582487438966 751387142458 1000609610501 2001219221002 3260050666471 5944798274153 6520101332942 11889596548306 101061570660601 202123141321202