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1020155025204 = 223571011484501
BaseRepresentation
bin11101101100001011111…
…10100101011100110100
310121112012100122210100000
432312011332211130310
5113203234141301304
62100352554351300
7133463251432320
oct16660576453464
93545170583300
101020155025204
11363710a09717
12145867a2b530
137527ab11763
1437539164980
151b80ae05939
hexed85fa5734

1020155025204 has 144 divisors (see below), whose sum is σ = 3086529054336. Its totient is φ = 288586800000.

The previous prime is 1020155025187. The next prime is 1020155025233. The reversal of 1020155025204 is 4025205510201.

1020155025204 is a `hidden beast` number, since 102 + 0 + 1 + 5 + 502 + 52 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 55047 + ... + 1429454.

It is an arithmetic number, because the mean of its divisors is an integer number (21434229544).

Almost surely, 21020155025204 is an apocalyptic number.

1020155025204 is a gapful number since it is divisible by the number (14) 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 1020155025204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543264527168).

1020155025204 is an abundant number, since it is smaller than the sum of its proper divisors (2066374029132).

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

1020155025204 is a wasteful number, since it uses less digits than its factorization.

1020155025204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484628 (or 1484614 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 1020155025204 in words is "one trillion, twenty billion, one hundred fifty-five million, twenty-five thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 101 108 126 162 189 202 243 252 303 324 378 404 486 567 606 707 756 909 972 1134 1212 1414 1701 1818 2121 2268 2727 2828 3402 3636 4242 5454 6363 6804 8181 8484 10908 12726 16362 19089 24543 25452 32724 38178 49086 57267 76356 98172 114534 171801 229068 343602 687204 1484501 2969002 4453503 5938004 8907006 10391507 13360509 17814012 20783014 26721018 31174521 40081527 41566028 53442036 62349042 80163054 93523563 120244581 124698084 149934601 160326108 187047126 240489162 280570689 299869202 360733743 374094252 449803803 480978324 561141378 599738404 721467486 841712067 899607606 1049542207 1122282756 1349411409 1442934972 1683424134 1799215212 2099084414 2525136201 2698822818 3148626621 3366848268 4048234227 4198168828 5050272402 5397645636 6297253242 8096468454 9445879863 10100544804 12144702681 12594506484 16192936908 18891759726 24289405362 28337639589 36434108043 37783519452 48578810724 56675279178 72868216086 85012918767 113350558356 145736432172 170025837534 255038756301 340051675068 510077512602 1020155025204