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102122342440 = 23541592634013
BaseRepresentation
bin101111100011011110…
…1110100100000101000
3100202121002012111202021
41133012331310200220
53133121304424230
6114525300114224
710243454405536
oct1370675644050
9322532174667
10102122342440
113a345444418
1217960695974
139826420c81
144d2ac85156
1529ca716c7a
hex17c6f74828

102122342440 has 128 divisors (see below), whose sum is σ = 240339052800. Its totient is φ = 39018465280.

The previous prime is 102122342423. The next prime is 102122342467. The reversal of 102122342440 is 44243221201.

102122342440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 25445874 + ... + 25449886.

It is an arithmetic number, because the mean of its divisors is an integer number (1877648850).

Almost surely, 2102122342440 is an apocalyptic number.

102122342440 is a gapful number since it is divisible by the number (10) 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 102122342440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120169526400).

102122342440 is an abundant number, since it is smaller than the sum of its proper divisors (138216710360).

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

102122342440 is a wasteful number, since it uses less digits than its factorization.

102122342440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4387 (or 4383 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 102122342440 its reverse (44243221201), we get a palindrome (146365563641).

The spelling of 102122342440 in words is "one hundred two billion, one hundred twenty-two million, three hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 59 82 118 164 205 236 263 295 328 410 472 526 590 820 1052 1180 1315 1640 2104 2360 2419 2630 4013 4838 5260 8026 9676 10520 10783 12095 15517 16052 19352 20065 21566 24190 31034 32104 40130 43132 48380 53915 62068 77585 80260 86264 96760 107830 124136 155170 160520 164533 215660 236767 310340 329066 431320 473534 620680 636197 658132 822665 947068 1055419 1183835 1272394 1316264 1645330 1894136 2110838 2367670 2544788 3180985 3290660 4221676 4735340 5089576 5277095 6361970 6581320 8443352 9470680 9707447 10554190 12723940 19414894 21108380 25447880 38829788 42216760 43272179 48537235 62269721 77659576 86544358 97074470 124539442 173088716 194148940 216360895 249078884 311348605 346177432 388297880 432721790 498157768 622697210 865443580 1245394420 1730887160 2490788840 2553058561 5106117122 10212234244 12765292805 20424468488 25530585610 51061171220 102122342440