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122034241010 = 251119375412917
BaseRepresentation
bin111000110100111001…
…1101011110111110010
3102122222202221202120002
41301221303223313302
53444411231203020
6132021201150002
711550056635133
oct1615163536762
9378882852502
10122034241010
1147833169540
121b79902b302
13b67a78cb86
145c99595c8a
15329387d975
hex1c69cebdf2

122034241010 has 128 divisors (see below), whose sum is σ = 259628232960. Its totient is φ = 40814668800.

The previous prime is 122034240967. The next prime is 122034241081. The reversal of 122034241010 is 10142430221.

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, 41834072 + ... + 41836988.

It is an arithmetic number, because the mean of its divisors is an integer number (2028345570).

Almost surely, 2122034241010 is an apocalyptic number.

122034241010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122034241010 is an abundant number, since it is smaller than the sum of its proper divisors (137593991950).

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

122034241010 is a wasteful number, since it uses less digits than its factorization.

122034241010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3532.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 122034241010 its reverse (10142430221), we get a palindrome (132176671231).

The spelling of 122034241010 in words is "one hundred twenty-two billion, thirty-four million, two hundred forty-one thousand, ten".

Divisors: 1 2 5 10 11 19 22 37 38 55 74 95 110 185 190 209 370 407 418 541 703 814 1045 1082 1406 2035 2090 2705 2917 3515 4070 5410 5834 5951 7030 7733 10279 11902 14585 15466 20017 20558 29170 29755 32087 38665 40034 51395 55423 59510 64174 77330 100085 102790 107929 110846 113069 160435 200170 215858 220187 226138 277115 320870 380323 440374 539645 554230 565345 609653 760646 1079290 1100935 1130690 1187219 1219306 1578097 1901615 2050651 2201870 2374438 3048265 3156194 3803230 4101302 4183553 5936095 6096530 7890485 8367106 10253255 11872190 15780970 17359067 20506510 20917765 22557161 29983843 34718134 41835530 45114322 58389589 59967686 86795335 112785805 116779178 149919215 173590670 225571610 291947945 299838430 329822273 583895890 642285479 659644546 1109402191 1284570958 1649111365 2218804382 3211427395 3298222730 5547010955 6422854790 11094021910 12203424101 24406848202 61017120505 122034241010