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312021110000190 = 23583829151157639
BaseRepresentation
bin100011011110010000001001…
…1011011001000101000111110
31111220202221000122012210220110
41012330200103123020220332
5311344123213130001230
63023340304042530450
7122502531656522463
oct10674402333105076
91456687018183813
10312021110000190
1190468456248978
122abb3946506a26
1310514606441976
145709c8bcbd66a
1526115b9ba94b0
hex11bc8136c8a3e

312021110000190 has 64 divisors (see below), whose sum is σ = 758787167577600. Its totient is φ = 82103991917184.

The previous prime is 312021110000189. The next prime is 312021110000231. The reversal of 312021110000190 is 91000011120213.

It is a happy number.

It is a super-2 number, since 2×3120211100001902 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 73514610 + ... + 77643029.

It is an arithmetic number, because the mean of its divisors is an integer number (11856049493400).

Almost surely, 2312021110000190 is an apocalyptic number.

312021110000190 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312021110000190 is an abundant number, since it is smaller than the sum of its proper divisors (446766057577410).

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

312021110000190 is a wasteful number, since it uses less digits than its factorization.

312021110000190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151158561.

The product of its (nonzero) digits is 108, while the sum is 21.

The spelling of 312021110000190 in words is "three hundred twelve trillion, twenty-one billion, one hundred ten million, one hundred ninety", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 30 83 166 249 415 498 829 830 1245 1658 2487 2490 4145 4974 8290 12435 24870 68807 137614 206421 344035 412842 688070 1032105 2064210 151157639 302315278 453472917 755788195 906945834 1511576390 2267364585 4534729170 12546084037 25092168074 37638252111 62730420185 75276504222 125309682731 125460840370 188191260555 250619365462 375929048193 376382521110 626548413655 751858096386 1253096827310 1879645240965 3759290481930 10400703666673 20801407333346 31202111000019 52003518333365 62404222000038 104007036666730 156010555000095 312021110000190