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202123310132010 = 235376110727898433
BaseRepresentation
bin101101111101010010000000…
…000110011110101100101010
3222111122210121000020122111210
4231331102000012132230222
5202443042014343211020
61553514100010333550
760400633022536611
oct5575220006365452
9874583530218453
10202123310132010
1159448018253443
121a804a2772a2b6
1388a21b97295b7
1437cab6b2b2878
151857a579273e0
hexb7d48019eb2a

202123310132010 has 128 divisors (see below), whose sum is σ = 511106452879104. Its totient is φ = 51100999925760.

The previous prime is 202123310131957. The next prime is 202123310132021. The reversal of 202123310132010 is 10231013321202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6704247 + ... + 21194186.

It is an arithmetic number, because the mean of its divisors is an integer number (3993019163118).

Almost surely, 2202123310132010 is an apocalyptic number.

202123310132010 is an abundant number, since it is smaller than the sum of its proper divisors (308983142747094).

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

202123310132010 is a wasteful number, since it uses less digits than its factorization.

202123310132010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27898648.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 202123310132010 its reverse (10231013321202), we get a palindrome (212354323453212).

The spelling of 202123310132010 in words is "two hundred two trillion, one hundred twenty-three billion, three hundred ten million, one hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 37 61 74 107 111 122 183 185 214 222 305 321 366 370 535 555 610 642 915 1070 1110 1605 1830 2257 3210 3959 4514 6527 6771 7918 11285 11877 13054 13542 19581 19795 22570 23754 32635 33855 39162 39590 59385 65270 67710 97905 118770 195810 241499 482998 724497 1207495 1448994 2414990 3622485 7244970 27898433 55796866 83695299 139492165 167390598 278984330 418476495 836952990 1032242021 1701804413 2064484042 2985132331 3096726063 3403608826 5105413239 5161210105 5970264662 6193452126 8509022065 8955396993 10210826478 10322420210 14925661655 15483630315 17018044130 17910793986 25527066195 29851323310 30967260630 44776984965 51054132390 62966763281 89553969930 110449896247 125933526562 182093072191 188900289843 220899792494 314833816405 331349688741 364186144382 377800579686 546279216573 552249481235 629667632810 662699377482 910465360955 944501449215 1092558433146 1104498962470 1656748443705 1820930721910 1889002898430 2731396082865 3313496887410 5462792165730 6737443671067 13474887342134 20212331013201 33687218355335 40424662026402 67374436710670 101061655066005 202123310132010